Prime p₀= 2081981977134774269 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: 122
Found by: JonS
db: batch=80, k=10, 2 16 2 40 2

SPT(16)	2081981152862740951	0 6 12 16 72 120 136 156 202 222 238 286 342 346 352 358	-824272033318
STPT(10)	2081981346671471801	0 2 6 8 48 50 90 92 96 98	-630463302468
SPT(16)	2081981588217500251	0 22 60 100 112 126 168 172 216 220 262 276 288 328 366 388	-388917274018
STPT(10)	2081981604973033187	0 2 54 56 72 74 90 92 144 146	-372161741082
SPT(16)	2081981784318694171	0 28 46 58 112 130 132 160 198 226 228 246 300 312 330 358	-192816080098
SPT(16)	2081981856135896107	0 12 40 46 54 72 84 100 126 142 154 172 180 186 214 226	-120998878162
STPT(10)	2081982068342662271	0 2 30 32 60 62 90 92 120 122	91207888002
SPT(16)	2081982092717023423	0 16 36 70 78 106 124 138 166 180 198 226 234 268 288 304	115582249154
STPT(10)	2081982120026224847	0 2 30 32 72 74 114 116 144 146	142891450578
STPT(12)	2081982212575239407	0 2 30 32 42 44 102 104 114 116 144 146	235440465138
SPT(16)	2081982606054937133	0 8 20 36 44 104 108 114 140 146 150 210 218 234 246 254	628920162864