Prime p₀= 2777809734973553219 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 28 2 40 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 102 104 132 134 162 164
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: 164
Found by: JayPi
db: batch=82, k=12, 2 28 2 28 2 40

STPT(10)	2777808714634029257	0 2 24 26 42 44 60 62 84 86	-1020339523962
SPT(16)	2777808856654575853	0 54 64 88 118 126 148 214 240 306 328 336 366 390 400 454	-878318977366
STPT(10)	2777808857496802901	0 2 30 32 78 80 126 128 156 158	-877476750318
TPT(14)	2777809032582112211	0 2 90 92 198 200 210 212 216 218 270 272 348 350	-702391441008
STPT(10)	2777809170945366791	0 2 36 38 78 80 120 122 156 158	-564028186428
STPT(10)	2777809645932025259	0 2 18 20 60 62 102 104 120 122	-89041527960
SPT(16)	2777809808458982659	0 52 82 94 118 154 172 234 238 300 318 354 378 390 420 472	73485429440
SPT(18)	2777810134256007401	0 36 62 102 132 146 150 162 180 188 206 218 222 236 266 306 332 368	399282454182
SPT(16)	2777810497275798451	0 42 46 78 88 108 112 132 166 186 190 210 220 252 256 298	762302245232
SPT(16)	2777810590830007241	0 26 32 38 56 78 98 108 320 330 350 372 390 396 402 428	855856454022
STPT(10)	2777810665069397567	0 2 30 32 42 44 54 56 84 86	930095844348