Prime p₀= 2275118596826326127 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: Landjunge
db: batch=81, k=10, 2 28 2 28 2

SPT(16)	2275117643646992437	0 10 90 102 130 252 262 282 364 384 394 516 544 556 636 646	-953179333690
STPT(10)	2275117706326675787	0 2 90 92 150 152 210 212 300 302	-890499650340
SPT(16)	2275117986731587649	0 192 194 198 308 312 378 402 410 434 500 504 614 618 620 812	-610094738478
SPT(16)	2275118250942238127	0 32 60 72 114 116 150 164 192 206 240 242 284 296 324 356	-345884088000
TPT(14)	2275118308934592221	0 2 48 50 60 62 78 80 126 128 168 170 216 218	-287891733906
SPT(18)	2275118407683735589	0 28 48 78 82 94 148 162 210 232 280 294 348 360 364 394 414 442	-189142590538
SPT(16)	2275118841568944361	0 22 82 90 102 132 148 156 172 180 196 226 238 246 306 328	244742618234
SPT(16)	2275118976411727931	0 2 6 20 30 56 72 80 132 140 156 182 192 206 210 212	379585401804
SPT(16)	2275119120307465379	0 2 8 12 30 54 120 134 198 212 278 302 320 324 330 332	523481139252
TPT(16)	2275120003686438299	0 2 30 32 42 44 72 74 150 152 180 182 228 230 282 284	1406860112172
SPT(16)	2275120239348783829	0 60 88 100 112 114 178 198 214 234 298 300 312 324 352 412	1642522457702