Prime p₀= 6313193127260081 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 16 2 40 2 46 2 16 2 40 2 (?)
a_n: 0 2 18 20 60 62 108 110 126 128 168 170
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: 170
Found by: Egon olsen
db: batch=62, k=12, 16 40 46 16 40

TPT(12)	6313130281199081	0 2 90 92 96 98 156 158 168 170 198 200	-62846061000
SPT(14)	6313131826388017	0 12 16 60 126 154 180 196 222 250 316 360 364 376	-61300872064
SPT(14)	6313136873912153	0 38 98 104 138 140 164 204 228 230 264 270 330 368	-56253347928
SPT(14)	6313151201905217	0 26 62 80 102 104 152 174 222 224 246 264 300 326	-41925354864
SPT(14)	6313160718696173	0 30 38 96 104 108 116 138 146 150 158 216 224 254	-32408563908
SPT(14)	6313163497132643	0 8 20 48 50 56 60 74 78 84 86 114 126 134	-29630127438
STPT(10)	6313201917352541	0 2 30 32 78 80 126 128 156 158	8790092460
SPT(14)	6313204776816547	0 10 46 52 54 70 82 84 96 112 114 120 156 166	11649556466
SPT(14)	6313212252878717	0 2 20 36 62 86 90 92 96 120 146 162 180 182	19125618636
SPT(14)	6313234647809959	0 4 18 22 52 72 88 174 190 210 240 244 258 262	41520549878
TPT(12)	6313240386811409	0 2 42 44 60 62 120 122 162 164 198 200	47259551328