Prime p₀= 2589172389718253567 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 10 2 4 2 10 2 40 2 (?)
a_n: 0 2 42 44 54 56 60 62 72 74 114 116
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=82, k=12, 2 40 2 10 2 4

SPT(18)	2589169100449320391	0 18 22 36 78 148 178 228 256 342 370 420 450 520 562 576 580 598	-3289268933176
SPT(16)	2589169119088145261	0 26 42 56 78 92 96 120 128 152 156 170 192 206 222 248	-3270630108306
STPT(10)	2589169253880406271	0 2 6 8 48 50 90 92 96 98	-3135837847296
SPT(16)	2589169573190412301	0 40 42 66 78 102 118 126 172 180 196 220 232 256 258 298	-2816527841266
STPT(10)	2589170204261280719	0 2 48 50 60 62 72 74 120 122	-2185456972848
TPT(14)	2589172315508660051	0 2 18 20 60 62 156 158 186 188 210 212 420 422	-74209593516
STPT(10)	2589172571052397019	0 2 18 20 30 32 42 44 60 62	181334143452
SPT(16)	2589172908783191617	0 24 34 64 76 106 120 132 274 286 300 330 342 372 382 406	519064938050
SPT(16)	2589172920229491601	0 10 22 36 46 66 70 82 150 162 166 186 196 210 222 232	530511238034
SPT(16)	2589173052038263787	0 24 54 74 96 116 120 134 252 266 270 290 312 332 362 386	662320010220
SPT(13)	2589173493864886807	0 36 60 72 120 180 246 312 372 420 432 456 492	1104146633240