Prime p₀= 2157169037163007199 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: Landjunge
db: batch=81, k=10, 2 10 2 76 2

SPT(16)	2157167800733016121	0 18 30 36 40 66 70 96 112 138 142 168 172 178 190 208	-1236429991078
STPT(10)	2157167888331356321	0 2 36 38 78 80 120 122 156 158	-1148831650878
SPT(16)	2157168025788684353	0 30 44 74 90 110 144 168 200 224 258 278 294 324 338 368	-1011374322846
STPT(10)	2157168415151588087	0 2 12 14 42 44 72 74 84 86	-622011419112
SPT(16)	2157168650532056963	0 14 26 68 74 86 98 110 204 216 228 240 246 288 300 314	-386630950236
STPT(10)	2157168752237284571	0 2 30 32 78 80 126 128 156 158	-284925722628
SPT(16)	2157169249697041883	0 6 30 140 210 224 228 240 284 296 300 314 384 494 518 524	212534034684
STPT(10)	2157169358157918371	0 2 36 38 78 80 120 122 156 158	320994911172
SPT(16)	2157169395021372703	0 10 24 28 34 54 66 90 244 268 280 300 306 310 324 334	357858365504
STPT(10)	2157169644721266347	0 2 30 32 42 44 54 56 84 86	607558259148
STPT(10)	2157169767327004481	0 2 6 8 18 20 30 32 36 38	730163997282