Prime p₀= 515061715900283441 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 64 2 58 2 10 2 28 2 10 2 (?)
a_n: 0 2 66 68 126 128 138 140 168 170 180 182
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: 182
Found by: [H]auntjemima
db: batch=71, k=12, 64 58 10 28 10

SPT(16)	515061658922508647	0 42 60 102 104 134 174 182 222 230 270 300 302 344 362 404	-56977774794
SPT(14)	515061659590707961	0 28 88 90 102 160 162 166 168 226 238 240 300 328	-56309575480
SPT(14)	515061672923503439	0 2 12 42 44 60 104 138 182 198 200 230 240 242	-42976780002
SPT(14)	515061686450172451	0 42 88 100 120 126 130 168 172 178 198 210 256 298	-29450110990
SPT(14)	515061703564487941	0 10 46 52 60 78 88 120 130 148 156 162 198 208	-12335795500
SPT(14)	515061707946051251	0 18 30 66 128 146 156 242 252 270 332 368 380 398	-7954232190
SPT(14)	515061821397779959	0 10 34 64 70 120 132 172 184 234 240 270 294 304	105497496518
SPT(14)	515061828257979887	0 26 30 96 110 114 120 146 152 156 170 236 240 266	112357696446
SPT(14)	515061828950665343	0 8 50 74 78 90 98 120 128 140 144 168 210 218	113050381902
SPT(14)	515061834739500131	0 26 30 62 116 140 152 186 198 222 276 308 312 338	118839216690
STPT(10)	515061843656272217	0 2 30 32 42 44 54 56 84 86	127755988776