Prime p₀= 418704887334343019 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 58 2 148 2 10 2 34 2 22 2 (?)
a_n: 0 2 60 62 210 212 222 224 258 260 282 284
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: 284
Found by: desktop64
db: batch=70, k=12, 58 148 10 34 22

SPT(14)	418704792044637419	0 62 72 74 80 90 122 150 182 192 198 200 210 272	-95289705600
SPT(20)	418704798867458419	0 10 24 70 78 84 142 144 150 172 210 232 238 240 298 304 312 358 372 382	-88466884600
SPT(14)	418704807141657527	0 50 54 56 126 164 182 204 222 260 330 332 336 386	-80192685492
TPT(12)	418704827428955909	0 2 30 32 90 92 240 242 270 272 282 284	-59905387110
SPT(14)	418704830082726569	0 2 12 50 54 78 90 92 104 128 132 170 180 182	-57251616450
SPT(14)	418704834064163093	0 6 14 54 56 116 186 194 264 324 326 366 374 380	-53270179926
SPT(14)	418704913127709547	0 34 54 166 226 232 262 264 294 300 360 472 492 526	25793366528
SPT(14)	418704932052483157	0 34 54 70 76 82 126 280 324 330 336 352 372 406	44718140138
SPT(14)	418704951803632243	0 40 58 66 88 100 144 190 234 246 268 276 294 334	64469289224
SPT(14)	418704960695088979	0 28 58 60 72 120 130 132 142 190 202 204 234 262	73360745960
SPT(14)	418704966990606773	0 24 68 78 98 114 120 158 164 180 200 210 254 278	79656263754