Prime p₀= 2591906978770750999 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 72 22 48 38 40 12 2 34 2 12 40 38 48 22 72 (?)
a_n: 0 72 94 142 180 220 232 234 268 270 282 322 360 408 430 502
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 502
Found by: [SG-FC] hl
db: batch=82, k=16, 72 22 48 38 40 12 2 34

SPT(16)	2591905653174138779	0 18 24 80 90 108 150 228 290 368 410 428 438 494 500 518	-1325596612220
TPT(14)	2591906054589018989	0 2 42 44 48 50 132 134 162 164 180 182 252 254	-924181732010
SPT(13)	2591906151523298881	0 12 42 60 102 222 270 318 438 480 498 528 540	-827247452118
SPT(16)	2591906178071163323	0 24 38 44 110 140 170 194 210 234 264 294 360 366 380 404	-800699587676
SPT(18)	2591906358518096143	0 46 54 76 88 130 144 166 174 220 228 250 264 306 318 340 348 394	-620252654856
STPT(10)	2591906471081180117	0 2 12 14 72 74 132 134 144 146	-507689570882
SPT(16)	2591907321306978431	0 18 30 42 158 170 186 212 276 302 318 330 446 458 470 488	342536227432
STPT(10)	2591907475677390851	0 2 30 32 78 80 126 128 156 158	496906639852
SPT(16)	2591907895083445019	0 2 14 30 42 50 60 78 134 152 162 170 182 198 210 212	916312694020
SPT(16)	2591908056973065071	0 38 68 90 168 170 182 206 222 246 258 260 338 360 390 428	1078202314072
STPT(10)	2591908245943168037	0 2 30 32 72 74 114 116 144 146	1267172417038