Prime p₀= 510575206072039397 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 100 2 136 2 10 2 46 2 40 2 (?)
a_n: 0 2 102 104 240 242 252 254 300 302 342 344
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: 344
Found by: [H]auntjemima
db: batch=71, k=12, 100 136 10 46 40

SPT(14)	510575103955054067	0 12 14 42 72 74 144 152 222 224 254 282 284 296	-102116985330
SPT(14)	510575133791202229	0 24 60 78 88 102 190 252 340 354 364 382 418 442	-72280837168
SPT(14)	510575164670369501	0 42 48 50 98 108 146 192 230 240 288 290 296 338	-41401669896
SPT(14)	510575176084793977	0 16 22 42 70 76 84 112 120 126 154 174 180 196	-29987245420
SPT(14)	510575180543957279	0 18 48 92 98 144 150 182 188 234 240 284 314 332	-25528082118
SPT(14)	510575196561231173	0 14 30 36 114 126 140 150 164 176 254 260 276 290	-9510808224
SPT(14)	510575235003754807	0 12 22 40 66 82 144 172 234 250 276 294 304 316	28931715410
SPT(14)	510575243668126361	0 30 50 96 98 126 170 186 230 258 260 306 326 356	37596086964
SPT(14)	510575245538505689	0 2 24 42 48 62 72 80 90 104 110 128 150 152	39466466292
SPT(14)	510575252827934807	0 2 36 44 122 132 140 156 164 174 252 260 294 296	46755895410
SPT(14)	510575263089389969	0 74 78 80 144 168 174 284 290 314 378 380 384 458	57017350572