Prime p₀= 574576666310680937 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 64 2 130 2 70 2 64 2 10 2 (?)
a_n: 0 2 54 56 120 122 252 254 324 326 390 392 402 404
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 404
Found by: Bryan
db: batch=57, k=14, 52 64 130 70 64 10

TPT(14)	574576534231769939	0 2 18 20 72 74 78 80 132 134 210 212 288 290	-132078910998
SPT(14)	574576538753444431	0 18 22 28 78 112 120 220 228 262 312 318 322 340	-127557236506
SPT(14)	574576561208698969	0 12 18 202 208 238 252 298 312 342 348 532 538 550	-105101981968
SPT(14)	574576582269519161	0 62 120 146 150 176 212 216 252 278 282 308 366 428	-84041161776
SPT(14)	574576617210993097	0 64 70 82 100 106 156 220 270 276 294 306 312 376	-49099687840
SPT(14)	574576642041002231	0 26 30 42 56 60 66 116 122 126 140 152 156 182	-24269678706
SPT(14)	574576711076156317	0 12 22 40 42 60 100 144 184 202 204 222 232 244	44765475380
TPT(12)	574576729332498437	0 2 24 26 30 32 72 74 84 86 150 152	63021817500
SPT(14)	574576750549803361	0 16 52 70 72 90 96 112 118 136 138 156 192 208	84239122424
SPT(14)	574576806505348469	0 8 18 78 110 128 162 218 252 270 302 362 372 380	140194667532
SPT(14)	574576807483782997	0 4 10 24 54 90 102 112 124 160 190 204 210 214	141173102060