Prime p₀= 1700783351103100601 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 58 2 58 2 76 2 28 2 22 2 (?)
a_n: 0 2 78 80 138 140 198 200 276 278 306 308 330 332
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: 332
Found by: gemini8
db: batch=79, k=14, 76 58 58 76 28 22

SPT(20)	1700782186654231829	0 24 38 98 108 110 140 152 168 170 192 194 210 222 252 254 264 324 338 362	-1164448868772
SPT(16)	1700782335340982083	0 66 78 106 156 168 270 288 388 406 508 520 570 598 610 676	-1015762118518
SPT(16)	1700782355875295621	0 12 90 96 102 122 132 180 188 236 246 266 272 278 356 368	-995227804980
SPT(16)	1700782369580907617	0 2 42 56 92 156 170 180 296 306 320 384 420 434 474 476	-981522192984
STPT(10)	1700782836669889769	0 2 18 20 30 32 42 44 60 62	-514433210832
SPT(16)	1700783005218662557	0 10 12 22 54 70 90 112 132 154 174 190 222 232 234 244	-345884438044
STPT(10)	1700783351103100601	0 2 78 80 138 140 198 200 276 278	0
SPT(16)	1700783612412574939	0 18 60 84 118 120 130 174 184 228 238 240 274 298 340 358	261309474338
SPT(16)	1700784500451453227	0 30 42 132 180 182 264 266 270 272 354 356 404 494 506 536	1149348352626
STPT(10)	1700784906030348137	0 2 24 26 42 44 60 62 84 86	1554927247536
STPT(10)	1700784953599761389	0 2 42 44 90 92 138 140 180 182	1602496660788