Prime p₀= 2104600287308201609 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 34 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 78 80 108 110 120 122
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: kashi
db: batch=80, k=12, 2 10 2 28 2 34

STPT(10)	2104599647182715861	0 2 6 8 48 50 90 92 96 98	-640125485748
SPT(16)	2104599700249758553	0 4 10 28 48 90 108 114 130 136 154 196 216 234 240 244	-587058443056
STPT(10)	2104599733559196659	0 2 42 44 60 62 78 80 120 122	-553749004950
SPT(16)	2104599860213053369	0 4 18 34 70 84 112 124 138 150 178 192 228 244 258 262	-427095148240
TPT(14)	2104599866720871251	0 2 6 8 30 32 96 98 138 140 156 158 180 182	-420587330358
SPT(16)	2104599878589327397	0 10 12 54 82 106 120 126 130 136 150 174 202 244 246 256	-408718874212
STPT(10)	2104600640503997549	0 2 42 44 90 92 138 140 180 182	353195795940
SPT(16)	2104600667873844643	0 6 60 100 126 144 156 166 174 184 196 214 240 280 334 340	380565643034
STPT(10)	2104600883311719641	0 2 30 32 60 62 90 92 120 122	596003518032
STPT(10)	2104600968358469039	0 2 18 20 30 32 42 44 60 62	681050267430
SPT(16)	2104601180094986071	0 10 52 90 102 118 168 192 196 220 270 286 298 336 378 388	892786784462