Prime p₀= 2402403164277140411 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 34 2 52 2 64 2 52 2 34 2 (?)
a_n: 0 2 36 38 90 92 156 158 210 212 246 248
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: 248
Found by: JayPi
db: batch=82, k=12, 2 34 2 52 2 64

SPT(16)	2402402484908627911	0 6 42 52 58 66 90 100 108 118 142 150 156 166 202 208	-679368512500
STPT(10)	2402402639818027571	0 2 6 8 48 50 90 92 96 98	-524459112840
SPT(16)	2402402790672318913	0 6 10 34 40 76 120 124 150 154 198 234 240 264 268 274	-373604821498
TPT(14)	2402402895716007059	0 2 12 14 42 44 78 80 192 194 252 254 330 332	-268561133352
SPT(16)	2402402928404169211	0 22 28 36 66 82 100 156 232 288 306 322 352 360 366 388	-235872971200
TPT(14)	2402403068503087547	0 2 42 44 84 86 102 104 144 146 162 164 174 176	-95774052864
STPT(10)	2402403337017295187	0 2 30 32 120 122 210 212 240 242	172740154776
SPT(16)	2402403620958310399	0 22 34 138 160 198 202 210 232 240 244 282 304 408 420 442	456681169988
SPT(16)	2402403664272019481	0 12 20 42 56 66 86 140 222 276 296 306 320 342 350 362	499994879070
SPT(16)	2402403834808683007	0 46 66 100 112 142 150 172 234 256 264 294 306 340 360 406	670531542596
STPT(10)	2402403875182130759	0 2 30 32 60 62 90 92 120 122	710904990348