Prime p₀= 2466256307811685889 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 46 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 90 92 120 122 132 134
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: JayPi
db: batch=82, k=12, 2 10 2 28 2 46

STPT(10)	2466253683498420857	0 2 30 32 42 44 54 56 84 86	-2624313265032
SPT(16)	2466253913610683653	0 4 6 84 94 100 108 144 160 196 204 210 220 298 300 304	-2394201002236
TPT(14)	2466254316429108377	0 2 30 32 54 56 72 74 84 86 102 104 144 146	-1991382577512
TPT(14)	2466254499083414969	0 2 18 20 72 74 150 152 210 212 228 230 348 350	-1808728270920
STPT(10)	2466255039963971327	0 2 30 32 42 44 54 56 84 86	-1267847714562
STPT(10)	2466256184970071309	0 2 12 14 30 32 48 50 60 62	-122841614580
TPT(14)	2466256753652348399	0 2 42 44 78 80 108 110 120 122 150 152 162 164	445840662510
SPT(16)	2466256848681113491	0 12 22 40 58 72 120 132 148 160 208 222 240 258 268 280	540869427602
STPT(10)	2466257032122478961	0 2 36 38 78 80 120 122 156 158	724310793072
STPT(10)	2466257864774218517	0 2 30 32 72 74 114 116 144 146	1556962532628
SPT(16)	2466258339275818279	0 22 40 70 78 82 90 114 118 142 150 154 162 192 210 232	2031464132390