Prime p₀= 968461977853344641 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: stoneageman
db: batch=76, k=10, 2 4 2 10 2

SPT(16)	968461263729208471	0 52 66 76 78 160 192 222 286 316 348 430 432 442 456 508	-714124136170
SPT(16)	968461267607242657	0 10 70 100 120 154 196 210 226 240 282 316 336 366 426 436	-710246101984
SPT(16)	968461333238126657	0 20 114 132 156 194 200 230 276 306 312 350 374 392 486 506	-644615217984
SPT(16)	968461699900467167	0 2 14 44 72 90 92 114 152 174 176 194 222 252 264 266	-277952877474
STPT(10)	968461794121271027	0 2 30 32 42 44 54 56 84 86	-183732073614
SPT(16)	968461804517061083	0 8 50 78 98 104 126 150 164 188 210 216 236 264 306 314	-173336283558
SPT(16)	968462029882530479	0 14 24 48 50 80 104 108 200 204 228 258 260 284 294 308	52029185838
STPT(10)	968462441239432031	0 2 6 8 48 50 90 92 96 98	463386087390
STPT(10)	968462445600683387	0 2 12 14 72 74 132 134 144 146	467747338746
SPT(16)	968462549418968951	0 2 12 18 72 90 98 182 216 300 308 326 380 386 396 398	571565624310
STPT(10)	968462655457776287	0 2 30 32 42 44 54 56 84 86	677604431646