Prime p₀= 2813178877999551707 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 82 2 4 2 22 2 4 2 82 2 (?)
a_n: 0 2 84 86 90 92 114 116 120 122 204 206
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: 206
Found by: JayPi
db: batch=82, k=12, 2 82 2 4 2 22

STPT(10)	2813177018416878317	0 2 12 14 42 44 72 74 84 86	-1859582673390
STPT(10)	2813177086497945521	0 2 6 8 48 50 90 92 96 98	-1791501606186
TPT(14)	2813177393192993369	0 2 12 14 48 50 90 92 102 104 168 170 180 182	-1484806558338
STPT(10)	2813178089953328171	0 2 6 8 48 50 90 92 96 98	-788046223536
STPT(10)	2813178593842259309	0 2 18 20 30 32 42 44 60 62	-284157292398
STPT(10)	2813178839999138489	0 2 48 50 90 92 132 134 180 182	-38000413218
SPT(16)	2813179192360272739	0 48 94 112 160 174 178 204 208 234 238 252 300 318 364 412	314360721032
SPT(16)	2813179205985835207	0 22 66 96 100 124 222 276 280 334 432 456 460 490 534 556	327986283500
STPT(10)	2813180071891206749	0 2 42 44 90 92 138 140 180 182	1193891655042
SPT(16)	2813180544112255139	0 14 78 84 92 102 104 128 144 168 170 180 188 194 258 272	1666112703432
SPT(16)	2813181412895449639	0 10 28 72 84 108 114 130 192 208 214 238 250 294 312 322	2534895897932