Prime p₀= 18687351066785669 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 46 2 22 2 16 2 10 2 124 2 (?)
a_n: 0 2 48 50 72 74 90 92 102 104 228 230
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: 230
Found by: emoga
db: batch=62, k=12, 46 22 16 10 124

TPT(12)	18687325795416701	0 2 36 38 66 68 78 80 96 98 120 122	-25271368968
SPT(14)	18687332081100061	0 30 46 60 66 88 96 100 108 130 136 150 166 196	-18985685608
SPT(14)	18687335135378669	0 48 50 60 68 74 128 144 198 204 212 222 224 272	-15931407000
SPT(16)	18687340687340749	0 58 78 114 118 142 154 160 162 168 180 204 208 244 264 322	-10379444920
TPT(12)	18687343065253697	0 2 42 44 72 74 90 92 102 104 132 134	-8001531972
SPT(14)	18687346471953449	0 8 24 38 50 54 140 162 248 252 264 278 294 302	-4594832220
SPT(14)	18687351730390249	0 12 34 48 82 130 144 238 252 300 334 348 370 382	663604580
SPT(14)	18687356061087101	0 38 72 108 120 150 188 240 278 308 320 356 390 428	4994301432
TPT(12)	18687359795990789	0 2 72 74 78 80 138 140 180 182 198 200	8729205120
SPT(14)	18687364159709491	0 10 58 126 136 142 220 228 306 312 322 390 438 448	13092923822
SPT(14)	18687376376268419	0 14 72 92 110 158 162 200 204 252 270 290 348 362	25309482750