Prime p₀= 2656186537952738447 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(16)	2656185017646162631	0 16 30 40 48 76 82 90 118 126 132 160 168 178 192 208	-1520306575816
STPT(10)	2656185077311018739	0 2 48 50 90 92 132 134 180 182	-1460641719708
SPT(16)	2656185189014089081	0 18 60 66 70 72 90 130 138 178 196 198 202 208 250 268	-1348938649366
STPT(10)	2656185482250742919	0 2 138 140 180 182 222 224 360 362	-1055701995528
STPT(10)	2656186230697929269	0 2 18 20 30 32 42 44 60 62	-307254809178
SPT(16)	2656186320021827107	0 6 30 40 42 72 76 100 102 126 130 160 162 172 196 202	-217930911340
SPT(16)	2656186549893959909	0 30 50 72 84 164 198 204 248 254 288 368 380 402 422 452	11941221462
SPT(16)	2656186754417350369	0 12 90 112 120 138 160 168 172 180 202 220 228 250 328 340	216464611922
STPT(10)	2656186794843360629	0 2 48 50 90 92 132 134 180 182	256890622182
STPT(10)	2656186818753820967	0 2 24 26 42 44 60 62 84 86	280801082520
STPT(10)	2656186834075766657	0 2 30 32 42 44 54 56 84 86	296123028210