Prime p₀= 63996611602888031 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 16 2 118 2 58 2 40 2 58 2 (?)
a_n: 0 2 18 20 138 140 198 200 240 242 300 302
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: 302
Found by: scrap
db: batch=67, k=12, 16 118 58 40 58

SPT(14)	63996556134988237	0 36 46 54 76 102 124 132 154 180 202 210 220 256	-55467899794
SPT(14)	63996568778795141	0 30 32 56 62 80 90 98 108 126 132 156 158 188	-42824092890
TPT(12)	63996569435951807	0 2 12 14 30 32 42 44 90 92 114 116	-42166936224
SPT(14)	63996574019019743	0 80 90 150 210 216 230 234 248 254 314 374 384 464	-37583868288
STPT(10)	63996599141514197	0 2 54 56 72 74 90 92 144 146	-12461373834
SPT(14)	63996611415475447	0 22 42 90 102 154 156 190 192 244 256 304 324 346	-187412584
SPT(14)	63996619703902757	0 14 26 36 50 56 86 270 300 306 320 330 342 356	8101014726
SPT(14)	63996621327422053	0 4 118 124 154 156 208 216 268 270 300 306 420 424	9724534022
SPT(14)	63996626822507593	0 34 58 64 88 90 96 148 154 156 180 186 210 244	15219619562
STPT(10)	63996626988444749	0 2 18 20 30 32 42 44 60 62	15385556718
SPT(14)	63996640487973311	0 2 30 32 42 60 62 66 68 86 96 98 126 128	28885085280