Prime p₀= 4415631163265224789 starts a Symmetric tuple of 24 consecutive primes (SPT).
d_n: 0 28 66 8 10 6 6 8 76 12 42 26 16 26 42 12 76 8 6 6 10 8 66 28 (?)
a_n: 0 28 94 102 112 118 124 132 208 220 262 288 304 330 372 384 460 468 474 480 490 498 564 592
All 24 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 592
Found by: vanos0512
db: batch=85, k=24, 28 66 8 10 6 6 8 76 12 42 26 16

STPT(10)	4415629542663639059	0 2 12 14 90 92 168 170 180 182	-1620601585730
SPT(16)	4415629981636518301	0 40 108 132 138 178 250 258 340 348 420 460 466 490 558 598	-1181628706488
SPT(16)	4415630097710761519	0 28 90 118 130 144 150 160 228 238 244 258 270 298 360 388	-1065554463270
SPT(16)	4415630317438774741	0 10 46 76 102 112 220 222 256 258 366 376 402 432 468 478	-845826450048
SPT(16)	4415630336729527757	0 20 30 92 114 162 212 216 290 294 344 392 414 476 486 506	-826535697032
STPT(10)	4415630555283665909	0 2 42 44 120 122 198 200 240 242	-607981558880
TPT(14)	4415631756603765041	0 2 36 38 66 68 108 110 126 128 156 158 240 242	593338540252
TPT(14)	4415631793497400211	0 2 30 32 108 110 348 350 360 362 378 380 390 392	630232175422
SPT(16)	4415631853541245781	0 30 56 90 138 140 146 176 210 240 246 248 296 330 356 386	690276020992
SPT(16)	4415631902536542979	0 42 70 88 114 132 162 174 238 250 280 298 324 342 370 412	739271318190
SPT(16)	4415632012067157653	0 18 44 56 66 116 156 158 366 368 408 458 468 480 506 524	848801932864