Prime p₀= 1267490374842550091 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Coleslaw
db: batch=77, k=10, 2 34 2 40 2

SPT(16)	1267488935955001811	0 8 72 120 132 146 150 156 182 188 192 206 218 266 330 338	-1438887548280
STPT(10)	1267489880107893269	0 2 18 20 60 62 102 104 120 122	-494734656822
TPT(14)	1267489880705044691	0 2 6 8 30 32 90 92 120 122 126 128 186 188	-494137505400
SPT(16)	1267490023981952497	0 6 42 52 70 90 96 102 160 166 172 192 210 220 256 262	-350860597594
SPT(16)	1267490174454179647	0 30 34 46 60 90 100 112 114 126 136 166 180 192 196 226	-200388370444
SPT(16)	1267490260083540617	0 14 24 42 90 92 122 132 194 204 234 236 284 302 312 326	-114759009474
STPT(10)	1267490515229783417	0 2 60 62 72 74 84 86 144 146	140387233326
SPT(16)	1267491275905296049	0 28 48 70 142 144 168 174 238 244 268 270 342 364 384 412	901062745958
STPT(10)	1267491593206186877	0 2 42 44 72 74 102 104 144 146	1218363636786
STPT(10)	1267492479971047151	0 2 6 8 48 50 90 92 96 98	2105128497060
SPT(16)	1267492491020058437	0 2 24 26 44 60 72 96 140 164 176 192 210 212 234 236	2116177508346