Prime p₀= 58516497528145847 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 52 2 58 2 76 2 46 2 22 2 (?)
a_n: 0 2 54 56 114 116 192 194 240 242 264 266
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: 266
Found by: emoga
db: batch=67, k=12, 52 58 76 46 22

SPT(14)	58516433386476271	0 16 22 30 40 52 82 96 126 138 148 156 162 178	-64141669576
SPT(14)	58516436294413711	0 28 60 66 96 130 168 190 228 262 292 298 330 358	-61233732136
SPT(14)	58516438795547179	0 12 24 40 42 52 118 144 210 220 222 238 250 262	-58732598668
SPT(14)	58516480392573079	0 4 24 84 100 118 120 142 144 162 178 238 258 262	-17135572768
SPT(14)	58516483213275433	0 24 30 34 36 54 124 150 220 238 240 244 250 274	-14314870414
TPT(12)	58516495012178699	0 2 12 14 60 62 150 152 168 170 192 194	-2515967148
SPT(14)	58516502612109481	0 18 30 76 88 136 156 172 192 240 252 298 310 328	5083963634
TPT(12)	58516504628718881	0 2 96 98 216 218 288 290 318 320 336 338	7100573034
TPT(12)	58516505836327547	0 2 72 74 150 152 162 164 294 296 324 326	8308181700
SPT(14)	58516513932705827	0 56 74 84 92 144 152 174 182 234 242 252 270 326	16404559980
SPT(14)	58516527494217841	0 28 46 90 96 126 138 208 220 250 256 300 318 346	29966071994