Prime p₀= 2555068783621422119 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 40 2 58 2 64 2 22 2 76 2 (?)
a_n: 0 2 60 62 102 104 162 164 228 230 252 254 330 332
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: 332
Found by: [SG-FC] hl
db: batch=82, k=14, 58 40 58 64 22 76

SPT(16)	2555067580095090167	0 2 24 30 162 164 174 176 240 242 252 254 386 392 414 416	-1203526331952
SPT(16)	2555067598769967293	0 8 24 60 140 150 174 180 188 194 218 228 308 344 360 368	-1184851454826
SPT(16)	2555067877408549397	0 20 30 56 66 72 90 102 110 122 140 146 156 182 192 212	-906212872722
STPT(10)	2555068142737334561	0 2 126 128 138 140 150 152 276 278	-640884087558
SPT(16)	2555068257798272297	0 14 50 72 96 110 144 240 266 362 396 410 434 456 492 506	-525823149822
STPT(10)	2555068691874456851	0 2 36 38 78 80 120 122 156 158	-91746965268
SPT(16)	2555068923468563927	0 14 80 102 104 132 146 234 242 330 344 372 374 396 462 476	139847141808
STPT(10)	2555068933479426179	0 2 12 14 30 32 48 50 60 62	149858004060
STPT(10)	2555069196465061091	0 2 6 8 48 50 90 92 96 98	412843638972
TPT(14)	2555069275196352329	0 2 120 122 132 134 162 164 198 200 240 242 270 272	491574930210
SPT(16)	2555069285445252529	0 42 52 84 130 132 150 184 228 262 280 282 328 360 370 412	501823830410