Prime p₀= 1122770071372584377 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: stoneageman
db: batch=76, k=10, 2 10 2 28 2

SPT(16)	1122769177922147621	0 50 60 66 98 110 120 180 188 248 258 270 302 308 318 368	-893450436756
STPT(10)	1122769359797573399	0 2 18 20 30 32 42 44 60 62	-711575010978
SPT(16)	1122769442853278119	0 30 40 48 118 142 162 198 334 370 390 414 484 492 502 532	-628519306258
SPT(16)	1122769653533336269	0 28 52 60 82 88 90 102 118 130 132 138 160 168 192 220	-417839248108
STPT(10)	1122769895116539491	0 2 6 8 48 50 90 92 96 98	-176256044886
STPT(10)	1122770011841868149	0 2 42 44 90 92 138 140 180 182	-59530716228
SPT(16)	1122770093405610043	0 6 30 70 76 130 136 144 160 168 174 228 234 274 298 304	22033025666
SPT(16)	1122770430324888263	0 36 44 74 80 86 90 144 230 284 288 294 300 330 338 374	358952303886
STPT(10)	1122770683564658657	0 2 42 44 72 74 102 104 144 146	612192074280
SPT(16)	1122770984823681719	0 14 32 78 114 144 152 204 218 270 278 308 344 390 408 422	913451097342
TPT(14)	1122771235042734377	0 2 42 44 282 284 330 332 354 356 462 464 510 512	1163670150000