Prime p₀= 2268417238569852857 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 40 2 4 2 40 2 10 2 (?)
a_n: 0 2 12 14 54 56 60 62 102 104 114 116
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: JayPi
db: batch=81, k=12, 2 10 2 40 2 4

SPT(16)	2268415063429762363	0 18 28 58 76 88 96 100 156 160 168 180 198 228 238 256	-2175140090494
SPT(16)	2268415497025921291	0 10 12 28 46 70 76 126 142 192 198 222 240 256 258 268	-1741543931566
TPT(14)	2268415780148906357	0 2 30 32 54 56 72 74 90 92 144 146 180 182	-1458420946500
SPT(16)	2268416383692469561	0 42 48 70 102 118 136 148 150 162 180 196 228 250 256 298	-854877383296
STPT(10)	2268416844266863091	0 2 6 8 48 50 90 92 96 98	-394302989766
STPT(10)	2268417021410344757	0 2 30 32 42 44 54 56 84 86	-217159508100
TPT(14)	2268417514140399197	0 2 42 44 90 92 114 116 162 164 270 272 420 422	275570546340
SPT(16)	2268417754494839317	0 24 30 40 96 142 166 184 222 240 264 310 366 376 382 406	515924986460
SPT(16)	2268417800992245703	0 6 36 58 64 78 124 136 138 150 196 210 216 238 268 274	562422392846
STPT(10)	2268417942439290737	0 2 30 32 42 44 54 56 84 86	703869437880
SPT(16)	2268418000809616963	0 16 46 58 66 84 90 118 126 154 160 178 186 198 228 244	762239764106