Prime p₀= 574571970838570151 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 28 2 64 2 10 2 58 2 100 2 (?)
a_n: 0 2 30 32 96 98 108 110 168 170 270 272
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: 272
Found by: pelpolaris
db: batch=71, k=12, 28 64 10 58 100

SPT(14)	574571895597334759	0 12 24 28 64 78 82 90 94 108 144 148 160 172	-75241235392
SPT(14)	574571896884961939	0 28 34 88 120 124 148 150 174 178 210 264 270 298	-73953608212
SPT(14)	574571912718213251	0 56 62 72 98 116 158 240 282 300 326 336 342 398	-58120356900
TPT(12)	574571922689368781	0 2 6 8 36 38 60 62 90 92 168 170	-48149201370
SPT(14)	574571931613359643	0 78 118 160 204 210 234 274 298 304 348 390 430 508	-39225210508
SPT(14)	574571967840956941	0 36 78 120 126 148 150 256 258 280 286 328 370 406	-2997613210
SPT(14)	574571996826667039	0 4 22 72 100 124 172 180 228 252 280 330 348 352	25988096888
SPT(16)	574571998267652003	0 26 36 68 78 86 108 168 176 236 258 266 276 308 318 344	27429081852
SPT(14)	574572015333974017	0 16 52 72 94 106 112 114 120 132 154 174 210 226	44495403866
TPT(12)	574572038499601379	0 2 42 44 180 182 198 200 222 224 228 230	67661031228
SPT(16)	574572041518809629	0 8 12 78 80 92 138 140 180 182 228 240 242 308 312 320	70680239478