Prime p₀= 2156268287116161479 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Landjunge
db: batch=81, k=10, 2 16 2 10 2

STPT(10)	2156267021597170211	0 2 36 38 78 80 120 122 156 158	-1265518991268
SPT(16)	2156267192406910381	0 10 22 42 60 82 88 96 112 120 126 148 166 186 198 208	-1094709251098
SPT(16)	2156267368248244403	0 50 98 104 194 230 248 300 308 360 378 414 504 510 558 608	-918867917076
TPT(14)	2156267707259668577	0 2 120 122 150 152 180 182 222 224 234 236 252 254	-579856492902
SPT(16)	2156267709461291341	0 6 12 42 58 88 112 132 136 156 180 210 226 256 262 268	-577654870138
STPT(10)	2156268092267555807	0 2 30 32 72 74 114 116 144 146	-194848605672
STPT(10)	2156268433818904589	0 2 18 20 30 32 42 44 60 62	146702743110
STPT(10)	2156268500152155209	0 2 42 44 60 62 78 80 120 122	213035993730
STPT(10)	2156268575399184437	0 2 90 92 102 104 114 116 204 206	288283022958
STPT(10)	2156268857227396367	0 2 30 32 42 44 54 56 84 86	570111234888
SPT(16)	2156268984625002971	0 12 80 126 128 152 168 198 230 260 276 300 302 348 416 428	697508841492