Prime p₀= 1382005108667509769 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 16 2 22 2 34 2 22 2 16 2 (?)
a_n: 0 2 18 20 42 44 78 80 102 104 120 122
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: Skivelitis2
db: batch=77, k=12, 2 16 2 22 2 34

SPT(16)	1382002748302033841	0 26 36 68 78 86 140 152 156 168 222 230 240 272 282 308	-2360365475928
SPT(18)	1382002801066401959	0 18 32 54 92 98 198 222 228 254 260 284 384 390 428 450 464 482	-2307601107810
STPT(10)	1382002989781240217	0 2 30 32 42 44 54 56 84 86	-2118886269552
STPT(10)	1382003685503868059	0 2 42 44 90 92 138 140 180 182	-1423163641710
STPT(10)	1382004221660156777	0 2 42 44 72 74 102 104 144 146	-887007352992
SPT(16)	1382004597569706191	0 2 6 30 56 78 98 138 170 210 230 252 278 302 306 308	-511097803578
STPT(10)	1382005838126238329	0 2 12 14 90 92 168 170 180 182	729458728560
STPT(10)	1382006190947608319	0 2 18 20 30 32 42 44 60 62	1082280098550
SPT(16)	1382006392152908219	0 68 90 102 104 122 132 150 302 320 330 348 350 362 384 452	1283485398450
STPT(10)	1382006924662242449	0 2 18 20 30 32 42 44 60 62	1815994732680
STPT(10)	1382007209532803207	0 2 54 56 72 74 90 92 144 146	2100865293438