Prime p₀= 18687343065253697 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 40 2 28 2 16 2 10 2 28 2 (?)
a_n: 0 2 42 44 72 74 90 92 102 104 132 134
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: 134
Found by: emoga
db: batch=62, k=12, 40 28 16 10 28

SPT(14)	18687307746479389	0 34 54 70 132 154 162 292 300 322 384 400 420 454	-35318774308
SPT(14)	18687321010828511	0 12 20 48 56 108 122 126 140 192 200 228 236 248	-22054425186
TPT(12)	18687325795416701	0 2 36 38 66 68 78 80 96 98 120 122	-17269836996
SPT(14)	18687332081100061	0 30 46 60 66 88 96 100 108 130 136 150 166 196	-10984153636
SPT(14)	18687335135378669	0 48 50 60 68 74 128 144 198 204 212 222 224 272	-7929875028
SPT(16)	18687340687340749	0 58 78 114 118 142 154 160 162 168 180 204 208 244 264 322	-2377912948
SPT(14)	18687346471953449	0 8 24 38 50 54 140 162 248 252 264 278 294 302	3406699752
TPT(12)	18687351066785669	0 2 48 50 72 74 90 92 102 104 228 230	8001531972
SPT(14)	18687351730390249	0 12 34 48 82 130 144 238 252 300 334 348 370 382	8665136552
SPT(14)	18687356061087101	0 38 72 108 120 150 188 240 278 308 320 356 390 428	12995833404
TPT(12)	18687359795990789	0 2 72 74 78 80 138 140 180 182 198 200	16730737092