Prime p₀= 1996597649747902739 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 28 2 4 2 40 2 16 2 22 2 (?)
a_n: 0 2 72 74 102 104 108 110 150 152 168 170 192 194
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: 194
Found by: Chooka
db: batch=80, k=14, 70 28 4 40 16 22

SPT(16)	1996596013734355003	0 10 24 46 66 70 78 84 130 136 144 148 168 190 204 214	-1636013547736
SPT(16)	1996596151291140629	0 48 104 110 114 128 140 194 228 282 294 308 312 318 374 422	-1498456762110
SPT(16)	1996596454598327381	0 20 38 42 48 50 62 92 156 186 198 200 206 210 228 248	-1195149575358
SPT(18)	1996596499447785701	0 48 60 78 90 92 98 126 176 312 362 390 396 398 410 428 440 488	-1150300117038
STPT(10)	1996596679062165149	0 2 12 14 30 32 48 50 60 62	-970685737590
STPT(10)	1996597036671161339	0 2 18 20 30 32 42 44 60 62	-613076741400
SPT(16)	1996597688611241501	0 60 66 120 126 168 186 198 288 300 318 360 366 420 426 486	38863338762
SPT(20)	1996597882050645053	0 48 50 68 74 96 134 138 174 176 228 230 266 270 308 330 336 354 356 404	232302742314
SPT(16)	1996598108943056321	0 36 42 50 80 140 146 156 182 192 198 258 288 296 302 338	459195153582
SPT(16)	1996598169699636707	0 12 36 50 80 86 110 140 222 252 276 282 312 326 350 362	519951733968
SPT(18)	1996598260210337989	0 10 22 58 64 102 154 178 190 192 204 228 280 318 324 360 372 382	610462435250