Prime p₀= 1018045475044379489 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 76 2 52 2 4 2 202 2 28 2 (?)
a_n: 0 2 30 32 108 110 162 164 168 170 372 374 402 404
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: 404
Found by: Skivelitis2
db: batch=76, k=14, 28 76 52 4 202 28

SPT(16)	1018044878644556017	0 40 52 82 94 100 114 132 184 202 216 222 234 264 276 316	-596399823472
SPT(16)	1018045073576656891	0 16 30 52 72 78 82 126 262 306 310 316 336 358 372 388	-401467722598
SPT(16)	1018045107593109077	0 60 96 126 140 144 224 236 264 276 356 360 374 404 440 500	-367451270412
STPT(10)	1018045121130688109	0 2 18 20 30 32 42 44 60 62	-353913691380
STPT(10)	1018045122477940787	0 2 24 26 42 44 60 62 84 86	-352566438702
SPT(16)	1018045214444590991	0 50 92 158 182 192 206 240 248 282 296 306 330 396 438 488	-260599788498
STPT(10)	1018045792672754147	0 2 30 32 42 44 54 56 84 86	317628374658
SPT(16)	1018045804534735997	0 12 20 44 72 74 102 104 150 152 180 182 210 234 242 254	329490356508
SPT(16)	1018045817754396913	0 6 28 30 34 60 100 124 270 294 334 360 364 366 388 394	342710017424
STPT(10)	1018046225460854501	0 2 6 8 18 20 30 32 36 38	750416475012
TPT(14)	1018046258835282251	0 2 66 68 126 128 156 158 168 170 180 182 276 278	783790902762