Prime p₀= 787464934466689859 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 4 2 22 2 4 2 40 2 (?)
a_n: 0 2 42 44 48 50 72 74 78 80 120 122
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: WTBroughton
db: batch=73, k=12, 2 40 2 4 2 22

SPT(16)	787463999163323749	0 18 40 70 108 112 154 204 238 288 330 334 372 402 424 442	-935303366110
SPT(16)	787464199068114527	0 42 50 84 110 120 122 182 204 264 266 276 302 336 344 386	-735398575332
STPT(10)	787464333992175779	0 2 42 44 120 122 198 200 240 242	-600474514080
SPT(16)	787464475891183777	0 4 10 36 40 42 124 144 172 192 274 276 280 306 312 316	-458575506082
SPT(16)	787464578274375103	0 36 48 60 70 76 130 138 196 204 258 264 274 286 298 334	-356192314756
SPT(16)	787464703867740749	0 32 50 90 92 104 138 140 222 224 258 270 272 312 330 362	-230598949110
SPT(16)	787465169885528909	0 20 132 134 152 168 180 224 228 272 284 300 318 320 432 452	235418839050
SPT(16)	787465864515259157	0 12 60 62 96 104 120 210 236 326 342 350 384 386 434 446	930048569298
SPT(16)	787466001869545331	0 78 86 92 102 168 186 188 240 242 260 326 336 342 350 428	1067402855472
SPT(16)	787466198542520027	0 6 26 32 62 84 104 126 170 192 212 234 264 270 290 296	1264075830168
SPT(16)	787466232817893217	0 4 30 36 40 54 106 112 114 120 172 186 190 196 222 226	1298351203358