Prime p₀= 215845472356635701 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 106 2 40 2 4 2 70 2 40 2 (?)
a_n: 0 2 108 110 150 152 156 158 228 230 270 272
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: 272
Found by: Megacruncher
db: batch=69, k=12, 106 40 4 70 40

SPT(14)	215845441707008791	0 6 10 46 72 112 142 210 240 280 306 342 346 352	-30649626910
SPT(14)	215845446665826337	0 12 16 24 34 54 72 94 112 132 142 150 154 166	-25690809364
TPT(12)	215845447801122827	0 2 72 74 120 122 132 134 240 242 282 284	-24555512874
SPT(14)	215845453466880131	0 32 116 140 188 252 270 338 356 420 468 492 576 608	-18889755570
SPT(14)	215845456620786043	0 16 24 30 34 64 84 100 120 150 154 160 168 184	-15735849658
SPT(14)	215845466846440253	0 20 36 50 56 78 96 98 116 138 144 158 174 194	-5510195448
SPT(14)	215845475454995851	0 12 108 138 142 148 190 210 252 258 262 292 388 400	3098360150
SPT(14)	215845482788458909	0 18 58 84 172 178 184 198 204 210 298 324 364 382	10431823208
SPT(14)	215845485634277969	0 8 42 92 114 140 162 170 192 218 240 290 324 332	13277642268
SPT(14)	215845496733306689	0 12 32 62 68 78 98 132 152 162 168 198 218 230	24376670988
SPT(14)	215845508397327749	0 14 20 42 50 62 72 110 120 132 140 162 168 182	36040692048