Prime p₀= 2768113314214918097 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 10 2 28 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 72 74 84 86 114 116
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: JayPi
db: batch=82, k=12, 2 28 2 10 2 28

TPT(14)	2768112096265113989	0 2 18 20 42 44 72 74 150 152 240 242 312 314	-1217949804108
STPT(10)	2768112586676006621	0 2 6 8 18 20 30 32 36 38	-727538911476
SPT(16)	2768112591792698707	0 16 64 96 100 162 190 196 450 456 484 546 550 582 630 646	-722422219390
SPT(16)	2768112717031596037	0 10 12 22 46 52 54 102 154 202 204 210 234 244 246 256	-597183322060
STPT(10)	2768112968316665927	0 2 12 14 42 44 72 74 84 86	-345898252170
SPT(16)	2768113129065682891	0 12 16 48 82 126 142 168 280 306 322 366 400 432 436 448	-185149235206
STPT(10)	2768113455964817381	0 2 36 38 78 80 120 122 156 158	141749899284
STPT(10)	2768113553072160101	0 2 6 8 48 50 90 92 96 98	238857242004
STPT(10)	2768113567708802837	0 2 30 32 42 44 54 56 84 86	253493884740
SPT(16)	2768114049207632467	0 46 52 66 82 96 102 150 196 244 250 264 280 294 300 346	734992714370
SPT(16)	2768114084973783157	0 6 10 52 82 112 124 132 154 162 174 204 234 276 280 286	770758865060