Prime p₀= 576568777932395579 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 10 2 16 2 88 2 70 2 28 2 (?)
a_n: 0 2 48 50 60 62 78 80 168 170 240 242 270 272
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: 272
Found by: jozef j
db: batch=57, k=14, 46 10 16 88 70 28

SPT(14)	576568715097539779	0 30 54 58 72 94 108 184 198 220 234 238 262 292	-62834855800
SPT(14)	576568755309282413	0 66 96 150 198 200 210 266 276 278 326 380 410 476	-22623113166
SPT(14)	576568759379470579	0 42 52 72 78 100 108 112 120 142 148 168 178 220	-18552925000
SPT(14)	576568766246430329	0 14 38 128 182 198 260 282 344 360 414 504 528 542	-11685965250
SPT(14)	576568768750545799	0 4 72 78 88 90 100 132 142 144 154 160 228 232	-9181849780
SPT(16)	576568769691634411	0 6 18 28 66 70 112 118 150 156 198 202 240 250 262 268	-8240761168
SPT(14)	576568802696580311	0 30 48 60 78 120 128 132 140 182 200 212 230 260	24764184732
TPT(14)	576568803419298791	0 2 126 128 138 140 180 182 288 290 336 338 390 392	25486903212
SPT(14)	576568805186710837	0 12 42 72 90 112 120 124 132 154 172 202 232 244	27254315258
TPT(12)	576568815043602851	0 2 96 98 198 200 240 242 246 248 288 290	37111207272
SPT(16)	576568841536031563	0 24 64 66 114 118 148 150 154 156 186 190 238 240 280 304	63603635984