Prime p₀= 2779774983831353267 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 46 2 22 2 46 2 10 2 (?)
a_n: 0 2 12 14 60 62 84 86 132 134 144 146
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: 146
Found by: JayPi
db: batch=82, k=12, 2 10 2 46 2 22

SPT(16)	2779773090528291049	0 24 30 54 90 100 108 114 118 124 132 142 178 202 208 232	-1893303062218
SPT(16)	2779773214423931359	0 60 78 82 118 132 138 162 208 232 238 252 288 292 310 370	-1769407421908
SPT(16)	2779773578179141751	0 8 32 50 56 78 86 102 116 132 140 162 168 186 210 218	-1405652211516
SPT(16)	2779774254316888337	0 14 20 36 66 84 90 122 204 236 242 260 290 306 312 326	-729514464930
SPT(16)	2779774710489762599	0 20 48 50 54 74 98 104 174 180 204 224 228 230 258 278	-273341590668
SPT(16)	2779774945283625661	0 22 28 30 88 100 232 238 312 318 450 462 520 522 528 550	-38547727606
SPT(16)	2779775152795057177	0 4 10 22 36 52 126 144 532 550 624 640 654 666 672 676	168963703910
STPT(10)	2779775164845013301	0 2 156 158 168 170 180 182 336 338	181013660034
STPT(10)	2779775251239484877	0 2 30 32 42 44 54 56 84 86	267408131610
SPT(16)	2779775424018611413	0 16 24 28 84 90 96 150 184 238 244 250 306 310 318 334	440187258146
STPT(10)	2779775644444185857	0 2 30 32 42 44 54 56 84 86	660612832590