Prime p₀= 2015102535445397 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 10 2 10 2 4 2 28 2 10 2 (?)
a_n: 0 2 12 14 24 26 30 32 60 62 72 74
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: 74
Found by: 4ys
db: batch=61, k=12, 10 10 4 28 10

SPT(14)	2015053564499531	0 6 20 36 78 90 140 216 266 278 320 336 350 356	-48970945866
SPT(14)	2015066669169937	0 40 70 84 96 120 126 130 136 160 172 186 216 256	-35866275460
SPT(16)	2015070220910569	0 28 42 54 58 70 72 88 114 130 132 144 148 160 174 202	-32314534828
SPT(14)	2015089300197191	0 26 32 38 56 66 102 116 152 162 180 186 192 218	-13235248206
SPT(14)	2015093770662811	0 16 42 46 88 130 138 160 168 210 252 256 282 298	-8764782586
SPT(14)	2015098294384621	0 36 52 120 130 168 172 186 190 228 238 306 322 358	-4241060776
SPT(14)	2015110429614889	0 18 22 24 54 60 84 148 172 178 208 210 214 232	7894169492
TPT(12)	2015112723342209	0 2 12 14 72 74 78 80 150 152 162 164	10187896812
SPT(14)	2015113284698851	0 16 22 58 78 82 96 112 126 130 150 186 192 208	10749253454
SPT(14)	2015123750661187	0 36 40 46 70 82 190 192 300 312 336 342 346 382	21215215790
TPT(12)	2015127718119167	0 2 42 44 54 56 114 116 120 122 150 152	25182673770