Prime p₀= 331837055212233617 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 40 2 4 2 40 2 10 2 (?)
a_n: 0 2 12 14 54 56 60 62 102 104 114 116
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: arkiss
db: batch=70, k=12, 2 10 2 40 2 4

SPT(16)	331836938543765299	0 12 22 40 72 84 108 112 150 154 178 190 222 240 250 262	-116668468318
SPT(14)	331836943562076791	0 12 38 56 90 98 102 146 150 158 192 210 236 248	-111650156826
SPT(14)	331836976847270459	0 8 14 38 42 48 78 104 134 140 144 168 174 182	-78364963158
TPT(12)	331836997732395899	0 2 18 20 30 32 120 122 132 134 168 170	-57479837718
TPT(12)	331836999507666839	0 2 30 32 102 104 132 134 168 170 180 182	-55704566778
SPT(16)	331837013428593577	0 4 84 102 112 142 150 160 186 196 204 234 244 262 342 346	-41783640040
TPT(12)	331837055212233617	0 2 12 14 54 56 60 62 102 104 114 116	0
SPT(14)	331837061308847509	0 18 34 42 48 88 120 142 174 214 220 228 244 262	6096613892
SPT(14)	331837068212583133	0 16 18 28 40 78 88 96 106 144 156 166 168 184	13000349516
SPT(14)	331837090500464981	0 6 48 50 78 98 116 120 138 158 186 188 230 236	35288231364
SPT(14)	331837095341601511	0 16 18 58 78 106 112 156 162 190 210 250 252 268	40129367894