Prime p₀= 2260174086774672347 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 10 2 4 2 10 2 10 2 (?)
a_n: 0 2 12 14 24 26 30 32 42 44 54 56
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: 56
Found by: Orange Kid
db: batch=81, k=12, 2 10 2 10 2 4

SPT(16)	2260173174637324649	0 54 80 84 104 110 120 150 152 182 192 198 218 222 248 302	-912137347698
SPT(16)	2260173468209330231	0 18 48 50 56 60 98 116 120 138 176 180 186 188 218 236	-618565342116
STPT(10)	2260173770110668239	0 2 42 44 60 62 78 80 120 122	-316664004108
SPT(16)	2260173829363674449	0 30 44 68 84 102 120 150 212 242 260 278 294 318 332 362	-257410997898
SPT(16)	2260174069908580939	0 22 58 70 72 78 114 138 154 178 214 220 222 234 270 292	-16866091408
STPT(10)	2260174081084409261	0 2 30 32 78 80 126 128 156 158	-5690263086
STPT(10)	2260174544719170851	0 2 30 32 78 80 126 128 156 158	457944498504
STPT(10)	2260174690948405337	0 2 12 14 42 44 72 74 84 86	604173732990
STPT(10)	2260176019077542297	0 2 30 32 42 44 54 56 84 86	1932302869950
SPT(16)	2260176212714344633	0 16 24 30 48 70 106 126 178 198 234 256 274 280 288 304	2125939672286
STPT(10)	2260176699018754721	0 2 6 8 18 20 30 32 36 38	2612244082374