Prime p₀= 1577558457230059961 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 124 2 28 2 178 2 10 2 130 2 106 2 (?)
a_n: 0 2 126 128 156 158 336 338 348 350 480 482 588 590
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: 590
Found by: xii5ku
db: batch=78, k=14, 124 28 178 10 130 106

SPT(16)	1577556939485925361	0 10 36 112 130 132 138 148 150 160 166 168 186 262 288 298	-1517744134600
SPT(16)	1577557978232305879	0 10 12 18 40 108 112 150 190 228 232 300 322 328 330 340	-478997754082
SPT(16)	1577558048224588831	0 46 70 88 186 216 286 316 342 372 442 472 570 588 612 658	-409005471130
SPT(16)	1577558200751984453	0 14 36 44 48 78 114 144 200 230 266 296 300 308 330 344	-256478075508
STPT(10)	1577558269059869189	0 2 18 20 30 32 42 44 60 62	-188170190772
TPT(14)	1577558437237501001	0 2 48 50 96 98 108 110 138 140 150 152 180 182	-19992558960
STPT(10)	1577558676902699987	0 2 12 14 42 44 72 74 84 86	219672640026
SPT(16)	1577558789773278509	0 14 18 32 38 98 192 194 198 200 294 354 360 374 378 392	332543218548
STPT(10)	1577558822804039861	0 2 30 32 78 80 126 128 156 158	365573979900
STPT(10)	1577558991293000291	0 2 36 38 78 80 120 122 156 158	534062940330
TPT(14)	1577559071668408811	0 2 66 68 78 80 90 92 138 140 288 290 378 380	614438348850