Prime p₀= 1365042625102898657 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: emoga
db: batch=77, k=10, 2 22 2 16 2

STPT(10)	1365041747828207789	0 2 18 20 30 32 42 44 60 62	-877274690868
SPT(16)	1365041827401374497	0 16 36 70 72 100 102 126 190 214 216 244 246 280 300 316	-797701524160
SPT(16)	1365041888456197709	0 8 42 72 84 92 102 108 134 140 150 158 170 200 234 242	-736646700948
SPT(16)	1365042085781434681	0 18 66 76 78 106 118 148 150 180 192 220 222 232 280 298	-539321463976
TPT(14)	1365042129730601129	0 2 12 14 78 80 108 110 120 122 150 152 168 170	-495372297528
SPT(16)	1365042590296993799	0 2 8 20 38 48 98 164 168 234 284 294 312 324 330 332	-34805904858
STPT(10)	1365042754395831629	0 2 18 20 30 32 42 44 60 62	129292932972
SPT(16)	1365042757900414651	0 18 22 42 58 70 76 78 100 102 108 120 136 156 160 178	132797515994
SPT(16)	1365043026758414573	0 30 66 128 150 170 198 216 230 248 276 296 318 380 416 446	401655515916
SPT(16)	1365043159135837933	0 10 16 58 70 196 208 240 286 318 330 456 468 510 516 526	534032939276
STPT(10)	1365043433881691957	0 2 30 32 42 44 54 56 84 86	808778793300