Prime p₀= 502615121294377769 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 70 2 34 2 28 2 28 2 22 2 (?)
a_n: 0 2 72 74 108 110 138 140 168 170 192 194
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: 194
Found by: [H]auntjemima
db: batch=71, k=12, 70 34 28 28 22

STPT(10)	502615060219580837	0 2 42 44 72 74 102 104 144 146	-61074796932
TPT(12)	502615072370565809	0 2 12 14 18 20 90 92 282 284 312 314	-48923811960
TPT(12)	502615074328291679	0 2 18 20 30 32 72 74 102 104 108 110	-46966086090
SPT(14)	502615083635137559	0 80 104 108 120 128 150 188 210 218 230 234 258 338	-37659240210
SPT(14)	502615087028008099	0 54 70 78 84 88 94 204 210 214 220 228 244 298	-34266369670
SPT(14)	502615103898340877	0 6 42 90 96 162 176 210 224 290 296 344 380 386	-17396036892
SPT(14)	502615125951244573	0 28 54 78 88 94 100 108 114 120 130 154 180 208	4656866804
TPT(12)	502615130573030729	0 2 18 20 42 44 72 74 78 80 102 104	9278652960
STPT(10)	502615146563931407	0 2 30 32 42 44 54 56 84 86	25269553638
TPT(12)	502615176164322887	0 2 54 56 150 152 222 224 264 266 330 332	54869945118
SPT(14)	502615177984665973	0 34 36 64 90 118 126 148 156 184 210 238 240 274	56690288204