Prime p₀= 2865755302104194567 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: [SG-FC] hl
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2865754017038940901	0 60 66 90 112 126 132 156 172 196 202 216 238 262 268 328	-1285065253666
SPT(16)	2865754165015428691	0 6 28 58 76 88 90 138 148 196 198 210 228 258 280 286	-1137088765876
STPT(10)	2865754180897633391	0 2 36 38 78 80 120 122 156 158	-1121206561176
SPT(16)	2865754439716544527	0 12 76 82 84 114 120 142 144 166 172 202 204 210 274 286	-862387650040
SPT(16)	2865755095008656623	0 6 28 54 66 78 94 138 346 390 406 418 430 456 478 484	-207095537944
TPT(14)	2865755215341372017	0 2 24 26 42 44 102 104 210 212 222 224 264 266	-86762822550
TPT(14)	2865755426409155507	0 2 54 56 120 122 204 206 360 362 402 404 504 506	124304960940
TPT(14)	2865755609487105077	0 2 54 56 72 74 120 122 222 224 240 242 294 296	307382910510
STPT(10)	2865755675467657667	0 2 30 32 60 62 90 92 120 122	373363463100
STPT(10)	2865756123414592691	0 2 6 8 48 50 90 92 96 98	821310398124
STPT(10)	2865756142455054377	0 2 12 14 42 44 72 74 84 86	840350859810