Prime p₀= 2013712012768238969 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 10 2 46 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 90 92 102 104 132 134
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: 134
Found by: Chooka
db: batch=80, k=12, 2 28 2 10 2 46

STPT(10)	2013710593986385067	0 2 42 44 72 74 102 104 144 146	-1418781853902
STPT(10)	2013710669838184319	0 2 30 32 60 62 90 92 120 122	-1342930054650
SPT(16)	2013710703786257527	0 30 34 72 106 126 130 154 162 186 190 210 244 282 286 316	-1308981981442
SPT(16)	2013711476701839613	0 34 46 54 90 96 150 178 216 244 298 304 340 348 360 394	-536066399356
SPT(16)	2013711694149545353	0 40 60 66 120 124 148 186 238 276 300 304 358 364 384 424	-318618693616
TPT(14)	2013711927690343667	0 2 24 26 90 92 150 152 174 176 204 206 222 224	-85077895302
STPT(10)	2013712314077226941	0 2 6 8 48 50 90 92 96 98	301308987972
SPT(16)	2013712545886390823	0 8 18 24 38 84 104 126 158 180 200 246 260 266 276 284	533118151854
STPT(10)	2013712612549746341	0 2 36 38 78 80 120 122 156 158	599781507372
SPT(16)	2013712781522972381	0 36 90 92 146 150 152 176 192 216 218 222 276 278 332 368	768754733412
STPT(10)	2013713068084437911	0 2 36 38 78 80 120 122 156 158	1055316198942