Prime p₀= 1216764957348727607 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 146
Found by: Spectrum
db: batch=77, k=10, 2 58 2 10 2

SPT(16)	1216762672452697949	0 12 24 38 50 54 80 108 164 192 218 222 234 248 260 272	-2284896029658
SPT(16)	1216763244028563041	0 18 32 42 152 198 222 240 308 326 350 396 506 516 530 548	-1713320164566
STPT(10)	1216763251672236797	0 2 60 62 72 74 84 86 144 146	-1705676490810
SPT(16)	1216764433814006267	0 2 36 72 86 102 144 150 176 182 224 240 254 290 324 326	-523534721340
STPT(10)	1216764611735964647	0 2 42 44 72 74 102 104 144 146	-345612762960
SPT(16)	1216764655353352069	0 34 52 54 72 84 94 132 160 198 208 220 238 240 258 292	-301995375538
SPT(16)	1216765046335097953	0 30 40 94 114 154 180 198 220 238 264 304 324 378 388 418	88986370346
SPT(16)	1216765137376909949	0 8 20 38 48 54 78 168 230 320 344 350 360 378 390 398	180028182342
STPT(10)	1216765143904145621	0 2 30 32 60 62 90 92 120 122	186555418014
SPT(16)	1216765167550327921	0 22 52 136 148 166 172 186 232 246 252 270 282 366 396 418	210201600314
SPT(16)	1216765365144885841	0 10 18 28 36 42 112 130 228 246 316 322 330 340 348 358	407796158234