Prime p₀= 2438697898044269747 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 16 2 22 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 54 56 72 74 84 86
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: 86
Found by: JayPi
db: batch=82, k=12, 2 10 2 16 2 22

SPT(16)	2438696622161185513	0 4 64 70 78 106 108 154 180 226 228 256 264 270 330 334	-1275883084234
STPT(10)	2438696737410668489	0 2 18 20 30 32 42 44 60 62	-1160633601258
SPT(13)	2438696950084961849	0 12 30 78 162 180 210 240 258 342 390 408 420	-947959307898
TPT(14)	2438697113846500391	0 2 78 80 108 110 126 128 288 290 300 302 318 320	-784197769356
STPT(10)	2438697283078409201	0 2 30 32 60 62 90 92 120 122	-614965860546
STPT(12)	2438697525005083961	0 2 36 38 48 50 78 80 90 92 126 128	-373039185786
SPT(16)	2438698035911750329	0 22 48 54 72 114 120 160 162 202 208 250 268 274 300 322	137867480582
STPT(10)	2438698332637000937	0 2 24 26 42 44 60 62 84 86	434592731190
SPT(16)	2438698596457652843	0 30 68 86 90 96 108 110 144 146 158 164 168 186 224 254	698413383096
SPT(16)	2438698846664327749	0 22 64 94 102 112 144 150 172 178 210 220 228 258 300 322	948620058002
SPT(16)	2438698919955572669	0 20 24 50 54 72 84 90 212 218 230 248 252 278 282 302	1021911302922