Prime p₀= 3091357275440830997 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: PhilTheNet
db: batch=83, k=10, 2 10 2 28 2

SPT(16)	3091356310673249473	0 4 30 60 66 130 138 148 186 196 204 268 274 304 330 334	-964767581524
STPT(10)	3091356469531985321	0 2 6 8 18 20 30 32 36 38	-805908845676
SPT(16)	3091356687951842539	0 48 52 88 102 108 130 154 168 192 214 220 234 270 274 322	-587488988458
STPT(10)	3091356694381828391	0 2 36 38 78 80 120 122 156 158	-581059002606
STPT(10)	3091357192041015251	0 2 6 8 48 50 90 92 96 98	-83399815746
SPT(16)	3091357227733408631	0 12 18 30 62 72 90 92 96 98 116 126 158 170 176 188	-47707422366
SPT(16)	3091358086688939239	0 30 78 84 100 130 144 174 184 214 228 258 274 280 328 358	811248108242
SPT(16)	3091358287731404459	0 32 48 60 114 182 198 272 390 464 480 548 602 614 630 662	1012290573462
SPT(16)	3091358291959684063	0 4 10 16 130 136 154 210 304 360 378 384 498 504 510 514	1016518853066
STPT(10)	3091358358389466041	0 2 30 32 60 62 90 92 120 122	1082948635044
SPT(16)	3091358567905952767	0 16 30 34 126 142 180 184 192 196 234 250 342 346 360 376	1292465121770