Prime p₀= 1585231954787357057 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: crashtech
db: batch=78, k=10, 2 28 2 10 2

STPT(10)	1585230634798815647	0 2 30 32 42 44 54 56 84 86	-1319988541410
SPT(16)	1585230663633515023	0 6 24 28 30 48 60 90 94 124 136 154 156 160 178 184	-1291153842034
SPT(16)	1585230798168695423	0 56 158 174 210 224 284 300 314 330 390 404 440 456 558 614	-1156618661634
TPT(14)	1585230842363557817	0 2 72 74 114 116 150 152 204 206 234 236 330 332	-1112423799240
TPT(14)	1585231852515677831	0 2 90 92 108 110 126 128 180 182 216 218 246 248	-102271679226
STPT(10)	1585231947457839377	0 2 30 32 72 74 114 116 144 146	-7329517680
SPT(16)	1585231999470401707	0 12 22 52 64 66 102 112 144 154 190 192 204 234 244 256	44683044650
SPT(16)	1585232132638845403	0 4 6 66 70 76 108 138 166 196 228 234 238 298 300 304	177851488346
STPT(10)	1585232251094269049	0 2 18 20 30 32 42 44 60 62	296306911992
TPT(14)	1585232398648171499	0 2 18 20 48 50 72 74 78 80 210 212 228 230	443860814442
SPT(18)	1585232430408075641	0 8 12 26 36 48 78 92 132 176 216 230 260 272 282 296 300 308	475620718584