Prime p₀= 2390776548899514869 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 10 2 34 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 78 80 90 92 120 122
All 12 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: arkiss
db: batch=81, k=12, 2 28 2 10 2 34

SPT(16)	2390774952685677629	0 2 54 60 80 128 144 162 200 218 234 282 302 308 360 362	-1596213837240
STPT(10)	2390775313589712977	0 2 42 44 72 74 102 104 144 146	-1235309801892
TPT(14)	2390775349450192379	0 2 42 44 78 80 138 140 318 320 342 344 360 362	-1199449322490
SPT(16)	2390775896538698017	0 10 70 72 90 96 112 142 150 180 196 202 220 222 282 292	-652360816852
SPT(16)	2390776142625508699	0 24 42 52 90 120 130 154 210 234 244 274 312 322 340 364	-406274006170
STPT(10)	2390776427825392889	0 2 78 80 120 122 162 164 240 242	-121074121980
STPT(10)	2390776701688635107	0 2 12 14 42 44 72 74 84 86	152789120238
TPT(14)	2390776980664643861	0 2 6 8 36 38 66 68 180 182 246 248 288 290	431765128992
STPT(10)	2390776993526559689	0 2 18 20 60 62 102 104 120 122	444627044820
STPT(10)	2390777124052763177	0 2 30 32 42 44 54 56 84 86	575153248308
SPT(16)	2390777300849973743	0 26 54 60 78 120 126 140 204 218 224 266 284 290 318 344	751950458874