Prime p₀= 4044982734423566951 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 76 2 40 2 166 2 40 2 76 2 (?)
a_n: 0 2 78 80 120 122 288 290 330 332 408 410
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: 410
Found by: Centaur
db: batch=84, k=12, 2 76 2 40 2 166

STPT(10)	4044981854176935569	0 2 18 20 30 32 42 44 60 62	-880246631382
SPT(16)	4044981913746580447	0 40 106 112 120 130 144 216 280 352 366 376 384 390 456 496	-820676986504
STPT(10)	4044982072275409019	0 2 18 20 30 32 42 44 60 62	-662148157932
TPT(14)	4044982079240531489	0 2 60 62 90 92 222 224 240 242 282 284 300 302	-655183035462
SPT(16)	4044982542286554763	0 10 76 94 96 114 154 196 198 240 280 298 300 318 384 394	-192137012188
SPT(16)	4044982723380433883	0 6 14 20 74 80 90 98 156 164 174 180 234 240 248 254	-11043133068
STPT(10)	4044982983598493141	0 2 6 8 18 20 30 32 36 38	249174926190
TPT(14)	4044983006575478039	0 2 48 50 198 200 210 212 228 230 252 254 282 284	272151911088
TPT(14)	4044984323911822259	0 2 12 14 132 134 138 140 150 152 192 194 222 224	1589488255308
STPT(10)	4044984460223289761	0 2 6 8 48 50 90 92 96 98	1725799722810
SPT(16)	4044984671484040679	0 2 24 44 50 84 104 150 152 198 218 252 258 278 300 302	1937060473728