Prime p₀= 70186146508484087 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 100 2 28 2 76 2 40 2 10 2 (?)
a_n: 0 2 102 104 132 134 210 212 252 254 264 266
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: 266
Found by: Ralfy
db: batch=67, k=12, 100 28 76 40 10

SPT(14)	70186092146847679	0 34 48 70 100 178 198 214 234 312 342 364 378 412	-54361636408
TPT(12)	70186098387511367	0 2 60 62 84 86 174 176 252 254 312 314	-48120972720
SPT(14)	70186098637151527	0 10 42 46 64 66 76 120 130 132 150 154 186 196	-47871332560
SPT(14)	70186100173105139	0 32 72 114 174 212 230 264 282 320 380 422 462 494	-46335378948
TPT(12)	70186131443046341	0 2 30 32 60 62 228 230 240 242 270 272	-15065437746
TPT(12)	70186131647650829	0 2 72 74 180 182 222 224 228 230 282 284	-14860833258
SPT(14)	70186148061283561	0 6 28 90 108 112 150 178 216 220 238 300 322 328	1552799474
TPT(12)	70186149399604961	0 2 60 62 90 92 126 128 240 242 246 248	2891120874
TPT(12)	70186152700007207	0 2 24 26 42 44 54 56 90 92 180 182	6191523120
TPT(12)	70186169411706041	0 2 66 68 78 80 126 128 180 182 246 248	22903221954
SPT(14)	70186180221609223	0 18 30 36 46 76 126 148 198 228 238 244 256 274	33713125136