Prime p₀= 1539231806866058411 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 34 2 28 2 142 2 28 2 34 2 (?)
a_n: 0 2 36 38 66 68 210 212 240 242 276 278
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: 278
Found by: xii5ku
db: batch=78, k=12, 2 34 2 28 2 142

SPT(16)	1539230207821816787	0 2 6 36 102 116 132 140 162 170 186 200 266 296 300 302	-1599044241624
STPT(10)	1539230600099361311	0 2 6 8 18 20 30 32 36 38	-1206766697100
STPT(10)	1539230790371511401	0 2 48 50 108 110 168 170 216 218	-1016494547010
STPT(10)	1539231250485727829	0 2 18 20 30 32 42 44 60 62	-556380330582
SPT(16)	1539231470173832663	0 18 20 60 68 90 120 140 174 194 224 246 254 294 296 314	-336692225748
SPT(16)	1539231768263157503	0 44 66 110 150 156 174 194 210 230 248 254 294 338 360 404	-38602900908
STPT(10)	1539231919396818929	0 2 72 74 120 122 168 170 240 242	112530760518
STPT(10)	1539232063797814829	0 2 42 44 60 62 78 80 120 122	256931756418
SPT(16)	1539232639570156771	0 6 28 30 76 78 108 120 148 160 190 192 238 240 262 268	832704098360
STPT(10)	1539232683419493677	0 2 24 26 42 44 60 62 84 86	876553435266
SPT(16)	1539232735403406523	0 16 54 58 60 88 90 120 124 154 156 184 186 190 228 244	928537348112