Prime p₀= 2341485577403056781 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 16 2 40 2 94 2 148 2 40 2 (?)
a_n: 0 2 30 32 48 50 90 92 186 188 336 338 378 380
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: 380
Found by: Landjunge
db: batch=81, k=14, 28 16 40 94 148 40

SPT(16)	2341484236146496619	0 84 90 114 254 258 318 332 390 404 464 468 608 632 638 722	-1341256560162
SPT(16)	2341484280984616637	0 6 36 50 62 114 146 174 242 270 302 354 366 380 410 416	-1296418440144
SPT(16)	2341484330718897583	0 10 36 76 150 154 190 196 198 204 240 244 318 358 384 394	-1246684159198
STPT(10)	2341485163761433757	0 2 12 14 72 74 132 134 144 146	-413641623024
SPT(16)	2341485222619479533	0 24 84 86 104 116 134 150 224 240 258 270 288 290 350 374	-354783577248
SPT(16)	2341485488624796721	0 60 70 72 82 138 148 162 166 180 190 246 256 258 268 328	-88778260060
STPT(10)	2341485732881344727	0 2 12 14 42 44 72 74 84 86	155478287946
STPT(10)	2341485844496442401	0 2 6 8 18 20 30 32 36 38	267093385620
SPT(16)	2341486011132363187	0 4 16 126 166 226 240 250 270 280 294 354 394 504 516 520	433729306406
STPT(10)	2341486054516683341	0 2 36 38 78 80 120 122 156 158	477113626560
STPT(10)	2341486349979442451	0 2 30 32 78 80 126 128 156 158	772576385670