Prime p₀= 2121324936040916717 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 102 104 114 116
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: 116
Found by: Landjunge
db: batch=80, k=12, 2 10 2 28 2 28

TPT(14)	2121323527263691997	0 2 54 56 114 116 180 182 240 242 432 434 600 602	-1408777224720
TPT(14)	2121323616918086597	0 2 30 32 42 44 84 86 120 122 132 134 144 146	-1319122830120
SPT(16)	2121324104663885909	0 20 54 68 90 98 110 194 258 342 354 362 384 398 432 452	-831377030808
STPT(10)	2121324123039878357	0 2 30 32 42 44 54 56 84 86	-813001038360
STPT(10)	2121324655091008319	0 2 30 32 120 122 210 212 240 242	-280949908398
SPT(16)	2121324915325409329	0 4 30 40 72 82 100 174 238 312 330 340 372 382 408 412	-20715507388
SPT(16)	2121325039554678457	0 16 34 70 82 120 132 142 174 184 196 234 246 282 300 316	103513761740
SPT(16)	2121325205577723811	0 18 28 102 108 130 136 168 190 222 228 250 256 330 340 358	269536807094
SPT(16)	2121325205815245107	0 32 42 54 60 140 152 182 192 222 234 314 320 332 342 374	269774328390
TPT(14)	2121325398446013029	0 2 48 50 90 92 138 140 180 182 312 314 462 464	462405096312
TPT(14)	2121325410154800761	0 2 90 92 168 170 228 230 240 242 366 368 396 398	474113884044