Prime p₀= 794121549026894069 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 16 2 22 2 34 2 22 2 16 2 (?)
a_n: 0 2 18 20 42 44 78 80 102 104 120 122
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: [SG]FX
db: batch=73, k=12, 2 16 2 22 2 34

SPT(16)	794119330880109043	0 18 66 124 148 150 154 160 264 270 274 276 300 358 406 424	-2218146785026
STPT(12)	794119366564087997	0 2 12 14 24 26 30 32 42 44 54 56	-2182462806072
STPT(10)	794119828222704197	0 2 30 32 42 44 54 56 84 86	-1720804189872
SPT(16)	794120542166749531	0 6 30 108 142 160 166 180 298 312 318 336 370 448 472 478	-1006860144538
SPT(16)	794120547878022461	0 38 78 92 98 162 176 180 188 192 206 270 276 290 330 368	-1001148871608
SPT(20)	794120944835163373	0 18 58 106 120 168 186 190 198 204 220 226 234 238 256 304 318 366 406 424	-604191730696
SPT(16)	794121606694420087	0 42 72 76 114 150 174 196 240 262 286 322 360 364 394 436	57667526018
STPT(10)	794121713724055217	0 2 54 56 72 74 90 92 144 146	164697161148
SPT(16)	794121730987012469	0 20 30 42 48 84 90 98 174 182 188 224 230 242 252 272	181960118400
SPT(16)	794121926817367129	0 18 22 48 60 88 90 148 174 232 234 262 274 300 304 322	377790473060
SPT(16)	794122053804256979	0 8 48 158 180 204 218 230 258 270 284 308 330 440 480 488	504777362910