Prime p₀= 364130105921708681 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 88 2 28 2 4 2 28 2 82 2 (?)
a_n: 0 2 90 92 120 122 126 128 156 158 240 242
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: 242
Found by: vinn@[CNT]
db: batch=70, k=12, 88 28 4 28 82

SPT(14)	364130053559171353	0 60 76 88 130 136 180 214 258 264 306 318 334 394	-52362537328
SPT(16)	364130063134626989	0 2 12 14 72 74 102 114 158 170 198 200 258 260 270 272	-42787081692
SPT(14)	364130078384498771	0 20 36 56 72 92 102 146 156 176 192 212 228 248	-27537209910
SPT(14)	364130082495326831	0 36 50 68 78 150 158 168 176 248 258 276 290 326	-23426381850
SPT(14)	364130093599754579	0 32 42 44 54 144 180 212 248 338 348 350 360 392	-12321954102
SPT(14)	364130095340616317	0 32 56 66 104 114 122 174 182 192 230 240 264 296	-10581092364
SPT(14)	364130108753460823	0 34 46 64 76 88 154 180 246 258 270 288 300 334	2831752142
SPT(14)	364130114780455489	0 58 72 114 138 142 168 214 240 244 268 310 324 382	8858746808
TPT(14)	364130149262461277	0 2 54 56 90 92 120 122 132 134 192 194 222 224	43340752596
SPT(14)	364130168996920537	0 4 54 70 82 142 150 214 222 282 294 310 360 364	63075211856
SPT(14)	364130181768794293	0 46 84 88 108 178 184 210 216 286 306 310 348 394	75847085612