Prime p₀= 1069376667202875253 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 4 36 6 38 4 32 40 104 40 32 4 38 6 36 4 (?)
a_n: 0 4 40 46 84 88 120 160 264 304 336 340 378 384 420 424
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: 424
Found by: Theadalus
db: batch=76, k=16, 4 36 6 38 4 32 40 104

SPT(16)	1069375345833106471	0 40 42 46 52 60 66 76 222 232 238 246 252 256 258 298	-1321369768782
STPT(10)	1069375353558441887	0 2 42 44 72 74 102 104 144 146	-1313644433366
SPT(16)	1069375602077835163	0 4 60 96 100 126 174 196 228 250 298 324 328 364 420 424	-1065125040090
SPT(16)	1069375927272085913	0 8 20 60 156 194 228 258 266 296 330 368 464 504 516 524	-739930789340
STPT(10)	1069375987076437499	0 2 42 44 90 92 138 140 180 182	-680126437754
SPT(16)	1069376270755266511	0 10 88 130 156 160 186 226 312 352 378 382 408 450 528 538	-396447608742
STPT(10)	1069376732755381637	0 2 30 32 72 74 114 116 144 146	65552506384
SPT(16)	1069376818435317059	0 20 110 122 162 194 230 248 264 282 318 350 390 402 492 512	151232441806
STPT(10)	1069376851753054511	0 2 6 8 18 20 30 32 36 38	184550179258
SPT(16)	1069376922299967683	0 26 86 110 114 128 206 218 336 348 426 440 444 468 528 554	255097092430
TPT(14)	1069376994130954109	0 2 30 32 72 74 150 152 168 170 198 200 240 242	326928078856