Prime p₀= 3011137870889523017 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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 28 2 10 2

SPT(16)	3011136494338907897	0 14 30 36 74 96 144 146 210 212 260 282 320 326 342 356	-1376550615120
TPT(14)	3011136707474662841	0 2 6 8 96 98 156 158 216 218 228 230 258 260	-1163414860176
SPT(16)	3011136825768240269	0 2 18 24 84 90 102 170 312 380 392 398 458 464 480 482	-1045121282748
SPT(16)	3011136912697703533	0 28 58 90 106 120 130 148 198 216 226 240 256 288 318 346	-958191819484
STPT(10)	3011136986950050311	0 2 78 80 108 110 138 140 216 218	-883939472706
STPT(10)	3011137409644799759	0 2 18 20 30 32 42 44 60 62	-461244723258
SPT(16)	3011138573260647707	0 36 80 92 114 126 132 146 150 164 170 182 204 216 260 296	702371124690
SPT(16)	3011138813080585897	0 36 90 112 114 120 142 162 244 264 286 292 294 316 370 406	942191062880
STPT(10)	3011139025310880521	0 2 36 38 78 80 120 122 156 158	1154421357504
SPT(16)	3011139849343607623	0 6 64 66 136 154 160 168 196 204 210 228 298 300 358 364	1978454084606
STPT(10)	3011139851199007769	0 2 42 44 90 92 138 140 180 182	1980309484752