Prime p₀= 425443933015567559 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 40 2 16 2 16 2 40 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122 162 164
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: 164
Found by: desktop64
db: batch=70, k=12, 40 16 16 40 40

SPT(14)	425443869911061709	0 10 24 52 130 138 154 168 184 192 270 298 312 322	-63104505850
SPT(14)	425443885361750471	0 12 38 42 102 126 152 156 182 206 266 270 296 308	-47653817088
SPT(14)	425443887932644183	0 18 40 66 78 108 126 148 166 196 208 234 256 274	-45082923376
SPT(20)	425443909872764437	0 4 36 102 114 142 162 174 232 240 256 264 322 334 354 382 394 460 492 496	-23142803122
SPT(16)	425443922828608721	0 32 50 56 98 102 156 182 186 212 266 270 312 318 336 368	-10186958838
SPT(14)	425443928082907021	0 16 46 52 70 72 82 156 166 168 186 192 222 238	-4932660538
STPT(10)	425443933015567559	0 2 42 44 60 62 78 80 120 122	0
SPT(14)	425443945720234579	0 34 42 52 64 78 84 118 124 138 150 160 168 202	12704667020
TPT(12)	425443977346065407	0 2 42 44 72 74 120 122 132 134 162 164	44330497848
SPT(14)	425443977754197223	0 16 54 64 108 120 150 154 184 196 240 250 288 304	44738629664
SPT(14)	425443993506990737	0 24 26 42 44 80 102 164 186 222 224 240 242 266	60491423178