Prime p₀= 2522503450346641259 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 76 2 40 2 46 2 40 2 76 2 (?)
a_n: 0 2 78 80 120 122 168 170 210 212 288 290
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: 290
Found by: JayPi
db: batch=82, k=12, 2 76 2 40 2 46

STPT(10)	2522500364817755417	0 2 30 32 42 44 54 56 84 86	-3085528885842
STPT(10)	2522500863584202197	0 2 30 32 72 74 114 116 144 146	-2586762439062
STPT(10)	2522500947977458961	0 2 120 122 168 170 216 218 336 338	-2502369182298
SPT(16)	2522502096264798371	0 8 26 36 50 80 86 138 278 330 336 366 380 390 408 416	-1354081842888
SPT(16)	2522502742750648547	0 32 80 92 134 164 204 222 224 242 282 312 354 366 414 446	-707595992712
SPT(16)	2522502828548356403	0 18 24 38 68 74 78 80 114 116 120 126 156 170 176 194	-621798284856
SPT(16)	2522503563288438221	0 20 48 56 66 78 86 98 150 162 170 182 192 200 228 248	112941796962
STPT(12)	2522503803127631201	0 2 48 50 90 92 138 140 180 182 228 230	352780989942
SPT(16)	2522503876688486239	0 22 54 118 138 160 174 178 234 238 252 274 294 358 390 412	426341844980
STPT(10)	2522503925188950119	0 2 18 20 30 32 42 44 60 62	474842308860
SPT(16)	2522504048662529623	0 18 28 30 58 66 90 108 118 136 160 168 196 198 208 226	598315888364