Prime p₀= 2576023920523722197 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: JayPi
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2576023726576857367	0 4 12 66 70 72 84 90 136 142 154 156 160 214 222 226	-193946864830
STPT(10)	2576023749515739707	0 2 30 32 60 62 90 92 120 122	-171007982490
STPT(12)	2576023763638611929	0 2 42 44 108 110 282 284 348 350 390 392	-156885110268
STPT(10)	2576023797894321959	0 2 30 32 60 62 90 92 120 122	-122629400238
STPT(10)	2576023893161166587	0 2 42 44 72 74 102 104 144 146	-27362555610
STPT(10)	2576023909327013147	0 2 30 32 72 74 114 116 144 146	-11196709050
STPT(10)	2576023923273713597	0 2 24 26 42 44 60 62 84 86	2749991400
SPT(16)	2576024210327827381	0 6 22 66 100 108 136 156 202 222 250 258 292 336 352 358	289804105184
SPT(16)	2576024608717330801	0 78 106 108 118 120 136 150 298 312 328 330 340 342 370 448	688193608604
TPT(16)	2576024715351787211	0 2 30 32 78 80 180 182 198 200 210 212 246 248 288 290	794828065014
SPT(16)	2576024838576576911	0 30 90 140 182 212 222 272 276 326 336 366 408 458 518 548	918052854714