Prime p₀= 615864753791069021 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 64 2 52 2 28 2 154 2 70 2 (?)
a_n: 0 2 66 68 120 122 150 152 306 308 378 380
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: 380
Found by: xii5ku
db: batch=72, k=12, 64 52 28 154 70

TPT(12)	615864478883830409	0 2 60 62 162 164 252 254 270 272 312 314	-274907238612
SPT(16)	615864494455089247	0 76 82 90 102 132 162 174 202 214 244 274 286 294 300 376	-259335979774
SPT(16)	615864504556214219	0 42 48 132 168 204 218 230 252 264 278 314 350 434 440 482	-249234854802
TPT(12)	615864553555294331	0 2 138 140 156 158 210 212 246 248 318 320	-200235774690
TPT(12)	615864713281266179	0 2 12 14 78 80 90 92 150 152 162 164	-40509802842
TPT(12)	615864736328176499	0 2 162 164 168 170 180 182 192 194 300 302	-17462892522
TPT(12)	615864818909172629	0 2 18 20 60 62 102 104 168 170 240 242	65118103608
STPT(10)	615864828560688407	0 2 30 32 42 44 54 56 84 86	74769619386
SPT(16)	615864850836064289	0 18 42 48 78 158 162 188 204 230 234 314 344 350 374 392	97044995268
SPT(16)	615864882275153221	0 76 78 88 118 130 132 162 166 196 198 210 240 250 252 328	128484084200
STPT(10)	615864882401940749	0 2 42 44 90 92 138 140 180 182	128610871728