Prime p₀= 865633110694393367 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: GLeeM
db: batch=73, k=10, 2 28 2 10 2

SPT(16)	865631848670119919	0 12 38 108 120 122 128 138 164 174 180 182 194 264 290 302	-1262024273448
SPT(16)	865631957699971549	0 84 90 112 154 174 192 202 300 310 328 348 390 412 418 502	-1152994421818
SPT(16)	865631964928816663	0 36 64 76 78 84 88 90 154 156 160 166 168 180 208 244	-1145765576704
STPT(10)	865632383197783307	0 2 30 32 42 44 54 56 84 86	-727496610060
SPT(16)	865632532174725493	0 16 28 40 76 84 118 120 154 156 190 198 234 246 258 274	-578519667874
STPT(10)	865632988203345287	0 2 72 74 102 104 132 134 204 206	-122491048080
STPT(10)	865633649243926229	0 2 78 80 120 122 162 164 240 242	538549532862
SPT(16)	865633685732377399	0 4 28 34 40 54 60 84 88 112 118 132 138 144 168 172	575037984032
SPT(16)	865633983945981793	0 34 60 88 90 96 100 114 130 144 148 154 156 184 210 244	873251588426
STPT(10)	865634069147161409	0 2 18 20 30 32 42 44 60 62	958452768042
SPT(16)	865634261149753451	0 6 12 20 42 72 90 108 170 188 206 236 258 266 272 278	1150455360084