Prime p₀= 1997237234474250059 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 196 2 52 2 4 2 22 2 16 2 40 2 (?)
a_n: 0 2 198 200 252 254 258 260 282 284 300 302 342 344
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: 344
Found by: Chooka
db: batch=80, k=14, 196 52 4 22 16 40

SPT(16)	1997235399038896207	0 42 66 70 90 136 256 286 336 366 486 532 552 556 580 622	-1835435353852
STPT(10)	1997235681646400519	0 2 18 20 30 32 42 44 60 62	-1552827849540
TPT(14)	1997235684428762777	0 2 42 44 102 104 114 116 192 194 234 236 294 296	-1550045487282
SPT(16)	1997235809867901619	0 22 42 108 112 130 150 162 178 190 210 228 232 298 318 340	-1424606348440
STPT(10)	1997236125126730457	0 2 30 32 72 74 114 116 144 146	-1109347519602
SPT(16)	1997236894662827933	0 26 84 104 110 114 150 266 348 464 500 504 510 530 588 614	-339811422126
SPT(16)	1997237362014662311	0 46 60 76 90 102 166 186 202 222 286 298 312 328 342 388	127540412252
SPT(16)	1997237469726881423	0 18 26 30 56 60 110 116 138 144 194 198 224 228 236 254	235252631364
SPT(16)	1997238103095509971	0 22 36 78 112 126 156 160 198 202 232 246 280 322 336 358	868621259912
TPT(14)	1997238126798753539	0 2 30 32 42 44 72 74 138 140 198 200 240 242	892324503480
SPT(16)	1997238453116357597	0 12 26 54 66 84 86 104 132 150 152 170 182 210 224 236	1218642107538