Prime p₀= 1167671855067605357 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: stoneageman
db: batch=77, k=10, 2 28 2 10 2

SPT(16)	1167670282452303743	0 54 80 84 86 110 126 168 266 308 324 348 350 354 380 434	-1572615301614
STPT(10)	1167671080020822071	0 2 30 32 78 80 126 128 156 158	-775046783286
SPT(16)	1167671457298456787	0 26 32 42 96 120 122 144 182 204 206 230 284 294 300 326	-397769148570
SPT(16)	1167671606959573073	0 14 18 56 66 74 78 96 98 116 120 128 138 176 180 194	-248108032284
STPT(10)	1167671630483056547	0 2 30 32 60 62 90 92 120 122	-224584548810
SPT(16)	1167671691092187173	0 14 26 68 78 84 116 144 170 198 230 236 246 288 300 314	-163975418184
TPT(14)	1167672029431884659	0 2 12 14 60 62 90 92 138 140 180 182 258 260	174364279302
SPT(16)	1167672859887860273	0 24 44 78 84 188 198 230 324 356 366 470 476 510 530 554	1004820254916
SPT(16)	1167672874075641317	0 24 62 146 170 206 224 234 272 282 300 336 360 444 482 506	1019008035960
STPT(10)	1167672938640167381	0 2 36 38 78 80 120 122 156 158	1083572562024
TPT(14)	1167673465618579259	0 2 60 62 72 74 222 224 228 230 348 350 378 380	1610550973902