Prime p₀= 1245268049807042057 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: Theadalus
db: batch=77, k=10, 2 22 2 16 2

STPT(10)	1245266874638112449	0 2 12 14 30 32 48 50 60 62	-1175168929608
TPT(14)	1245267021889418219	0 2 18 20 72 74 102 104 150 152 168 170 222 224	-1027917623838
SPT(16)	1245267126624408281	0 30 32 42 78 108 170 176 192 198 260 290 326 336 338 368	-923182633776
STPT(10)	1245267489480752201	0 2 36 38 78 80 120 122 156 158	-560326289856
SPT(16)	1245267920335426049	0 18 30 38 60 80 84 90 122 128 132 152 174 182 194 212	-129471616008
SPT(16)	1245267976911708493	0 18 76 118 120 126 148 156 160 168 190 196 198 240 298 316	-72895333564
SPT(16)	1245268491542161487	0 20 60 84 120 144 162 164 252 254 272 296 332 356 396 416	441735119430
SPT(16)	1245268807594623893	0 14 56 74 90 110 116 126 188 198 204 224 240 258 300 314	757787581836
TPT(14)	1245268825272938831	0 2 66 68 78 80 138 140 180 182 210 212 288 290	775465896774
STPT(10)	1245268827621384701	0 2 36 38 78 80 120 122 156 158	777814342644
TPT(14)	1245269319804836099	0 2 12 14 42 44 48 50 90 92 132 134 138 140	1269997794042