Prime p₀= 2568591659160053531 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 22 2 64 2 40 2 160 2 76 2 (?)
a_n: 0 2 6 8 30 32 96 98 138 140 300 302 378 380
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: 380
Found by: RFGuy_KCCO
db: batch=82, k=14, 4 22 64 40 160 76

SPT(16)	2568590660926664903	0 6 48 74 104 126 144 188 216 260 278 300 330 356 398 404	-998233388628
SPT(16)	2568591018008440553	0 20 36 104 108 134 140 186 248 294 300 326 330 398 414 434	-641151612978
SPT(16)	2568591053706372581	0 12 18 80 90 108 152 188 222 258 302 320 330 392 398 410	-605453680950
SPT(16)	2568591288729140287	0 40 46 72 82 90 112 120 166 174 196 204 214 240 246 286	-370430913244
STPT(10)	2568591331126914407	0 2 30 32 42 44 54 56 84 86	-328033139124
SPT(16)	2568591404069532053	0 20 66 80 108 116 156 210 356 410 450 458 486 500 546 566	-255090521478
SPT(16)	2568592292218141919	0 32 44 74 134 158 164 204 248 288 294 318 378 408 420 452	633058088388
STPT(10)	2568592553732539421	0 2 6 8 48 50 90 92 96 98	894572485890
STPT(10)	2568593046062004677	0 2 60 62 102 104 144 146 204 206	1386901951146
STPT(10)	2568593245935002831	0 2 96 98 138 140 180 182 276 278	1586774949300
STPT(10)	2568593847106229441	0 2 36 38 78 80 120 122 156 158	2187946175910