Prime p₀= 1512385592356578389 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 16 2 52 2 124 2 58 2 10 2 (?)
a_n: 0 2 30 32 48 50 102 104 228 230 288 290 300 302
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: 302
Found by: Skivelitis2
db: batch=78, k=14, 28 16 52 124 58 10

SPT(16)	1512384245151522131	0 6 30 78 90 132 176 210 308 342 386 428 440 488 512 518	-1347205056258
STPT(10)	1512384432418858247	0 2 60 62 72 74 84 86 144 146	-1159937720142
SPT(16)	1512385059965709037	0 40 54 94 124 132 136 184 402 450 454 462 492 532 546 586	-532390869352
STPT(10)	1512385094366480429	0 2 18 20 30 32 42 44 60 62	-497990097960
SPT(16)	1512385359241511303	0 8 14 20 26 68 90 150 164 224 246 288 294 300 306 314	-233115067086
SPT(16)	1512385447941829709	0 92 108 132 150 162 210 218 222 230 278 290 308 332 348 440	-144414748680
STPT(10)	1512385760512676219	0 2 18 20 30 32 42 44 60 62	168156097830
STPT(10)	1512385794269704997	0 2 30 32 42 44 54 56 84 86	201913126608
SPT(16)	1512386095661817457	0 6 42 60 72 82 100 102 154 156 174 184 196 214 250 256	503305239068
SPT(16)	1512386483005197361	0 46 58 78 102 132 168 178 210 220 256 286 310 330 342 388	890648618972
SPT(20)	1512386627952526367	0 2 26 62 90 126 150 194 200 216 290 306 312 356 380 416 444 480 504 506	1035595947978