Prime p₀= 2597707220771810351 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 118 2 16 2 58 2 46 2 88 2 10 2 (?)
a_n: 0 2 120 122 138 140 198 200 246 248 336 338 348 350
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: 350
Found by: RFGuy_KCCO
db: batch=82, k=14, 118 16 58 46 88 10

SPT(16)	2597705765864856511	0 12 16 46 76 126 130 138 160 168 172 222 252 282 286 298	-1454906953840
SPT(16)	2597705982537810601	0 30 46 52 72 90 108 118 210 220 238 256 276 282 298 328	-1238233999750
TPT(14)	2597706730538021621	0 2 30 32 36 38 96 98 156 158 276 278 288 290	-490233788730
SPT(16)	2597706742676200003	0 10 18 60 78 90 94 148 156 210 214 226 244 286 294 304	-478095610348
STPT(10)	2597706921592694237	0 2 30 32 42 44 54 56 84 86	-299179116114
SPT(16)	2597707194126465173	0 26 56 84 126 230 260 306 308 354 384 488 530 558 588 614	-26645345178
SPT(16)	2597707355376483263	0 18 50 86 110 128 156 168 188 200 228 246 270 306 338 356	134604672912
SPT(16)	2597707512500390743	0 6 10 24 36 46 88 96 118 126 168 178 190 204 208 214	291728580392
STPT(10)	2597707858323319661	0 2 6 8 108 110 210 212 216 218	637551509310
SPT(16)	2597707927101099283	0 16 34 70 78 84 106 130 144 168 190 196 204 240 258 274	706329288932
STPT(10)	2597707971703489817	0 2 12 14 72 74 132 134 144 146	750931679466