Prime p₀= 4305702028945609757 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 88 2 40 2 40 2 88 2 (?)
a_n: 0 2 90 92 132 134 174 176 264 266
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: 266
Found by: Chooka
db: batch=85, k=10, 2 88 2 40 2

TPT(14)	4305700768664086637	0 2 42 44 84 86 180 182 222 224 234 236 282 284	-1260281523120
STPT(10)	4305701208084685259	0 2 12 14 90 92 168 170 180 182	-820860924498
SPT(16)	4305701251570298627	0 20 26 42 110 150 164 276 350 462 476 516 584 600 606 626	-777375311130
STPT(10)	4305701261761030211	0 2 66 68 108 110 150 152 216 218	-767184579546
SPT(16)	4305701781609798937	0 22 52 54 90 94 112 142 174 204 222 226 262 264 294 316	-247335810820
SPT(16)	4305702008868764341	0 52 66 82 112 118 126 138 160 172 180 186 216 232 246 298	-20076845416
TPT(14)	4305702202662389699	0 2 102 104 132 134 282 284 288 290 300 302 372 374	173716779942
SPT(16)	4305702561710476097	0 2 26 42 44 72 86 90 296 300 314 342 344 360 384 386	532764866340
STPT(10)	4305702630593239397	0 2 30 32 42 44 54 56 84 86	601647629640
SPT(16)	4305702727238138123	0 6 44 50 66 84 108 120 134 146 170 188 204 210 248 254	698292528366
SPT(16)	4305702987313781689	0 12 34 42 58 102 142 168 214 240 280 324 340 348 370 382	958368171932