Prime p₀= 539865753167917859 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 10 2 34 2 10 2 10 2 16 2 (?)
a_n: 0 2 12 14 48 50 60 62 72 74 90 92
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: 92
Found by: phoenicis
db: batch=56, k=12, 10 34 10 10 16

SPT(14)	539865666473962033	0 30 46 60 78 130 156 160 186 238 256 270 286 316	-86693955826
SPT(14)	539865671855243233	0 34 48 66 76 78 96 148 166 168 178 196 210 244	-81312674626
SPT(14)	539865689100152843	0 18 38 44 74 110 128 150 168 204 234 240 260 278	-64067765016
SPT(14)	539865710159813129	0 50 80 102 110 138 144 158 164 192 200 222 252 302	-43008104730
SPT(14)	539865711038730229	0 28 52 82 114 160 174 178 192 238 270 300 324 352	-42129187630
SPT(14)	539865724613954939	0 14 32 90 104 110 134 180 204 210 224 282 300 314	-28553962920
SPT(14)	539865770862309743	0 18 54 74 90 140 174 200 234 284 300 320 356 374	17694391884
TPT(12)	539865775351856927	0 2 24 26 30 32 54 56 114 116 150 152	22183939068
SPT(14)	539865777505380467	0 12 14 30 42 72 102 152 182 212 224 240 242 254	24337462608
SPT(14)	539865839268315139	0 12 24 34 48 54 60 82 88 94 108 118 130 142	86100397280
STPT(10)	539865840535703411	0 2 30 32 120 122 210 212 240 242	87367785552