Prime p₀= 356680889198405897 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 28 2 40 2 28 2 106 2 22 2 (?)
a_n: 0 2 30 32 72 74 102 104 210 212 234 236
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: 236
Found by: [SG-2W]Kurzer
db: batch=70, k=12, 28 40 28 106 22

SPT(14)	356680817094771709	0 18 28 102 144 148 154 228 234 238 280 354 364 382	-72103634188
SPT(14)	356680829998497113	0 14 26 74 156 176 180 200 204 224 306 354 366 380	-59199908784
TPT(12)	356680849210231289	0 2 18 20 102 104 120 122 132 134 162 164	-39988174608
TPT(12)	356680850109767891	0 2 66 68 78 80 108 110 120 122 138 140	-39088638006
SPT(16)	356680856346202867	0 30 76 84 90 94 136 142 174 180 222 226 232 240 286 316	-32852203030
SPT(14)	356680857033787199	0 12 42 44 114 174 194 198 218 278 348 350 380 392	-32164618698
TPT(12)	356680922852487797	0 2 114 116 132 134 144 146 282 284 312 314	33654081900
TPT(14)	356680924163495609	0 2 12 14 150 152 198 200 240 242 270 272 318 320	34965089712
SPT(14)	356680942744913399	0 18 48 140 170 222 230 252 260 312 342 434 464 482	53546507502
TPT(12)	356680949390735909	0 2 60 62 102 104 132 134 198 200 210 212	60192330012
SPT(14)	356680955712975511	0 10 16 30 76 78 112 156 190 192 238 252 258 268	66514569614