Prime p₀= 1563630065416670129 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 70 2 28 2 34 2 28 2 70 2 (?)
a_n: 0 2 72 74 102 104 138 140 168 170 240 242
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: 242
Found by: xii5ku
db: batch=78, k=12, 2 70 2 28 2 34

SPT(16)	1563629330290618919	0 12 32 42 102 108 122 138 152 168 182 188 248 258 278 290	-735126051210
SPT(16)	1563629395190366971	0 18 36 42 76 82 88 102 106 120 126 132 166 172 190 208	-670226303158
STPT(10)	1563629577790560167	0 2 24 26 42 44 60 62 84 86	-487626109962
STPT(10)	1563629863174125749	0 2 30 32 60 62 90 92 120 122	-202242544380
TPT(14)	1563629912938650329	0 2 78 80 168 170 222 224 258 260 318 320 372 374	-152478019800
STPT(10)	1563629982978646871	0 2 36 38 78 80 120 122 156 158	-82438023258
TPT(14)	1563630100153716521	0 2 78 80 180 182 258 260 288 290 300 302 330 332	34737046392
STPT(10)	1563630162545861957	0 2 30 32 42 44 54 56 84 86	97129191828
STPT(10)	1563630231781321349	0 2 48 50 60 62 72 74 120 122	166364651220
SPT(16)	1563630932142956023	0 48 58 70 78 100 106 118 156 168 174 196 204 216 226 274	866726285894
STPT(10)	1563631190883322367	0 2 42 44 72 74 102 104 144 146	1125466652238