Prime p₀= 1579281121924935389 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: xii5ku
db: batch=78, k=12, 2 40 2 4 2 22

STPT(10)	1579279719061774349	0 2 12 14 90 92 168 170 180 182	-1402863161040
STPT(10)	1579279771931092841	0 2 36 38 78 80 120 122 156 158	-1349993842548
SPT(18)	1579280368143175877	0 44 110 156 174 180 182 222 240 326 344 384 386 392 410 456 522 566	-753781759512
TPT(14)	1579280449605868901	0 2 36 38 66 68 78 80 246 248 288 290 378 380	-672319066488
STPT(10)	1579280606894202557	0 2 90 92 102 104 114 116 204 206	-515030732832
SPT(16)	1579280859263619353	0 30 90 114 128 144 156 168 176 188 200 216 230 254 314 344	-262661316036
SPT(16)	1579281158585865859	0 10 12 120 124 190 210 220 234 244 264 330 334 442 444 454	36660930470
STPT(10)	1579281280265284667	0 2 30 32 42 44 54 56 84 86	158340349278
SPT(16)	1579281296446869359	0 12 32 38 42 84 144 164 198 218 278 320 324 330 350 362	174521933970
STPT(10)	1579281358709007599	0 2 48 50 60 62 72 74 120 122	236784072210
SPT(16)	1579281417991427681	0 18 48 72 98 116 156 168 230 242 282 300 326 350 380 398	296066492292