Prime p₀= 1144187036718257639 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 22 2 28 2 58 2 106 2 46 2 (?)
a_n: 0 2 18 20 42 44 72 74 132 134 240 242 288 290
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: 290
Found by: Vitalii Koshura
db: batch=76, k=14, 16 22 28 58 106 46

STPT(10)	1144185856728448949	0 2 18 20 30 32 42 44 60 62	-1179989808690
SPT(16)	1144186422798348997	0 36 40 60 70 72 84 130 306 352 364 366 376 396 400 436	-613919908642
SPT(16)	1144186425605021023	0 4 54 60 96 114 130 196 264 330 346 364 400 406 456 460	-611113236616
SPT(16)	1144186663750221901	0 10 76 78 82 112 132 148 150 166 186 216 220 222 288 298	-372968035738
STPT(10)	1144186726337172107	0 2 30 32 102 104 174 176 204 206	-310381085532
STPT(10)	1144187030165600777	0 2 30 32 72 74 114 116 144 146	-6552656862
SPT(16)	1144187105279734501	0 88 90 126 160 198 208 216 220 228 238 276 310 346 348 436	68561476862
TPT(14)	1144187330766685319	0 2 30 32 78 80 90 92 102 104 228 230 240 242	294048427680
STPT(10)	1144187581943276987	0 2 30 32 42 44 54 56 84 86	545225019348
TPT(14)	1144187628532913099	0 2 78 80 90 92 300 302 312 314 342 344 438 440	591814655460
SPT(16)	1144187945809263011	0 38 60 158 186 206 210 276 290 356 360 380 408 506 528 566	909091005372