Prime p₀= 1032195572011039157 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 16 2 76 2 82 2 178 2 16 2 (?)
a_n: 0 2 54 56 72 74 150 152 234 236 414 416 432 434
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: 434
Found by: stoneageman
db: batch=76, k=14, 52 16 76 82 178 16

SPT(16)	1032194920879767563	0 8 20 86 90 168 188 240 314 366 386 464 468 534 546 554	-651131271594
SPT(16)	1032194981222972009	0 32 44 62 72 92 108 120 212 224 240 260 270 288 300 332	-590788067148
SPT(16)	1032195000183424073	0 44 66 90 110 146 168 198 206 236 258 294 314 338 360 404	-571827615084
STPT(10)	1032195495720657179	0 2 18 20 30 32 42 44 60 62	-76290381978
SPT(16)	1032195514047548107	0 10 46 54 60 64 102 130 186 214 252 256 262 270 306 316	-57963491050
STPT(10)	1032195530485255229	0 2 18 20 30 32 42 44 60 62	-41525783928
STPT(10)	1032195716578388249	0 2 18 20 30 32 42 44 60 62	144567349092
SPT(16)	1032195951498271999	0 10 22 52 64 82 102 118 264 280 300 318 330 360 372 382	379487232842
SPT(16)	1032196116814902791	0 6 26 48 56 122 126 138 140 152 156 222 230 252 272 278	544803863634
SPT(16)	1032196549055355829	0 4 22 34 60 82 118 144 238 264 300 322 348 360 378 382	977044316672
SPT(16)	1032196592037559021	0 30 36 40 58 78 120 196 210 286 328 348 366 370 376 406	1020026519864