Prime p₀= 578328492579083549 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 28 2 88 2 40 2 106 2 70 2 (?)
a_n: 0 2 30 32 120 122 162 164 270 272 342 344
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: chad.burrus
db: batch=71, k=12, 28 88 40 106 70

SPT(14)	578328355949634869	0 12 38 42 50 68 132 140 204 222 230 234 260 272	-136629448680
SPT(14)	578328426554788573	0 30 34 60 66 114 154 156 196 244 250 276 280 310	-66024294976
TPT(12)	578328453222527387	0 2 30 32 84 86 90 92 120 122 162 164	-39356556162
SPT(14)	578328460399636381	0 22 52 58 66 102 136 162 196 232 240 246 276 298	-32179447168
SPT(14)	578328462989228681	0 38 116 122 126 168 176 192 200 242 246 252 330 368	-29589854868
SPT(14)	578328472978541479	0 18 34 52 60 78 82 90 94 112 120 138 154 172	-19600542070
TPT(12)	578328517900762691	0 2 18 20 30 32 126 128 150 152 186 188	25321679142
SPT(16)	578328536733074593	0 4 6 48 76 88 144 166 168 190 246 258 286 328 330 334	44153991044
SPT(14)	578328580929043313	0 6 66 90 96 176 248 288 360 440 446 470 530 536	88349959764
SPT(14)	578328598295933729	0 24 30 44 90 102 122 150 170 182 228 242 248 272	105716850180
SPT(14)	578328626833712473	0 34 66 90 244 246 280 294 328 330 484 508 540 574	134254628924