Prime p₀= 1551563074007367977 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 58 2 4 2 58 2 28 2 22 2 (?)
a_n: 0 2 24 26 84 86 90 92 150 152 180 182 204 206
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: 206
Found by: Spectrum
db: batch=78, k=14, 22 58 4 58 28 22

SPT(16)	1551561880769208277	0 22 60 90 100 132 186 204 292 310 364 396 406 436 474 496	-1193238159700
STPT(10)	1551562281096091877	0 2 30 32 42 44 54 56 84 86	-792911276100
STPT(10)	1551562297977336017	0 2 42 44 102 104 162 164 204 206	-776030031960
TPT(14)	1551562396853549777	0 2 30 32 54 56 144 146 180 182 210 212 240 242	-677153818200
STPT(10)	1551562693309532507	0 2 90 92 102 104 114 116 204 206	-380697835470
SPT(16)	1551562763707168291	0 148 160 210 216 238 276 300 316 340 378 400 406 456 468 616	-310300199686
SPT(16)	1551564322511407769	0 12 32 42 78 138 144 180 182 218 224 284 320 330 350 362	1248504039792
SPT(16)	1551564486676763899	0 18 64 90 120 142 148 172 240 264 270 292 322 348 394 412	1412669395922
STPT(10)	1551565940536915349	0 2 12 14 90 92 168 170 180 182	2866529547372
SPT(16)	1551566404161556157	0 60 84 102 110 114 152 240 284 372 410 414 422 440 464 524	3330154188180
SPT(16)	1551566909397937253	0 90 96 138 170 230 236 240 314 318 324 384 416 458 464 554	3835390569276