Prime p₀= 2002393842590504729 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 196 2 10 2 28 2 10 2 58 2 58 2 (?)
a_n: 0 2 198 200 210 212 240 242 252 254 312 314 372 374
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: 374
Found by: Landjunge
db: batch=80, k=14, 196 10 28 10 58 58

STPT(10)	2002392376805632907	0 2 30 32 42 44 54 56 84 86	-1465784871822
STPT(10)	2002392636975752291	0 2 6 8 48 50 90 92 96 98	-1205614752438
SPT(16)	2002392680961737321	0 12 26 36 56 102 116 162 206 252 266 312 332 342 356 368	-1161628767408
STPT(10)	2002392942194858501	0 2 36 38 78 80 120 122 156 158	-900395646228
SPT(16)	2002393496100652771	0 22 30 46 76 112 120 172 186 238 246 282 312 328 336 358	-346489851958
SPT(16)	2002393771965204929	0 20 48 68 108 120 128 134 168 174 182 194 234 254 282 302	-70625299800
SPT(16)	2002393945319337877	0 52 60 72 90 94 102 114 130 142 150 154 172 184 192 244	102728833148
SPT(16)	2002394455565691301	0 6 46 48 72 100 118 160 228 270 288 316 340 342 382 388	612975186572
SPT(16)	2002394537346195277	0 42 52 54 70 76 84 126 130 172 180 186 202 204 214 256	694755690548
SPT(16)	2002394868487807117	0 16 60 70 112 126 156 240 256 340 370 384 426 436 480 496	1025897302388
SPT(16)	2002394989830263387	0 20 30 32 42 50 72 86 90 104 126 134 144 146 156 176	1147239758658