Prime p₀= 350057835487545371 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 28 2 28 2 106 2 28 2 136 2 (?)
a_n: 0 2 30 32 60 62 168 170 198 200 336 338
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: 338
Found by: sellyme
db: batch=70, k=12, 28 28 106 28 136

SPT(14)	350057729113536803	0 8 20 30 38 66 78 86 98 126 134 144 156 164	-106374008568
SPT(14)	350057746853243089	0 12 34 40 52 64 94 138 168 180 192 198 220 232	-88634302282
TPT(12)	350057761446485777	0 2 12 14 114 116 144 146 240 242 282 284	-74041059594
STPT(10)	350057769732717119	0 2 138 140 150 152 162 164 300 302	-65754828252
SPT(16)	350057804173635113	0 30 50 56 66 78 90 140 204 254 266 278 288 294 314 344	-31313910258
TPT(12)	350057820304637141	0 2 6 8 48 50 90 92 156 158 240 242	-15182908230
SPT(14)	350057848945485293	0 6 20 44 90 156 240 254 338 404 450 474 488 494	13457939922
SPT(14)	350057856141665201	0 32 50 60 80 102 116 126 140 162 182 192 210 242	20654119830
SPT(14)	350057859872965241	0 26 50 110 128 156 158 180 182 210 228 288 312 338	24385419870
SPT(14)	350057864571620087	0 2 32 42 80 110 116 150 156 186 224 234 264 266	29084074716
SPT(16)	350057872556100193	0 36 66 84 90 114 144 148 156 160 190 214 220 238 268 304	37068554822