Prime p₀= 2768768220812260739 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 4 2 22 2 4 2 40 2 (?)
a_n: 0 2 42 44 48 50 72 74 78 80 120 122
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: RFGuy_KCCO
db: batch=82, k=12, 2 40 2 4 2 22

SPT(16)	2768766991505971513	0 18 24 30 58 88 100 126 208 234 246 276 304 310 316 334	-1229306289226
SPT(16)	2768767269524245777	0 46 54 64 72 82 120 124 162 166 204 214 222 232 240 286	-951288014962
SPT(16)	2768767528423951283	0 20 36 38 54 60 78 116 168 206 224 230 246 248 264 284	-692388309456
TPT(14)	2768767773606685577	0 2 42 44 60 62 84 86 240 242 282 284 354 356	-447205575162
SPT(16)	2768768088303647447	0 26 36 42 80 90 110 150 206 246 266 276 314 320 330 356	-132508613292
SPT(16)	2768768186986579003	0 18 48 66 76 100 136 144 160 168 204 228 238 256 286 304	-33825681736
STPT(10)	2768768243579086247	0 2 42 44 72 74 102 104 144 146	22766825508
SPT(13)	2768768574198540673	0 30 48 96 138 156 198 240 258 300 348 366 396	353386279934
SPT(16)	2768768827114111727	0 12 24 26 92 120 162 176 210 224 266 294 360 362 374 386	606301850988
SPT(16)	2768768897134260103	0 4 46 66 88 136 156 178 186 208 228 276 298 318 360 364	676321999364
STPT(12)	2768768905988532089	0 2 42 44 102 104 108 110 168 170 210 212	685176271350