Prime p₀= 2598537238346020259 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 16 2 106 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 30 32 138 140 168 170 198 200 210 212
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: 212
Found by: JayPi
db: batch=82, k=14, 10 16 106 28 28 10

TPT(14)	2598535139156442347	0 2 12 14 162 164 210 212 222 224 240 242 264 266	-2099189577912
SPT(13)	2598535140791544161	0 6 48 168 210 246 258 270 306 348 468 510 516	-2097554476098
SPT(16)	2598535253261322383	0 66 86 120 134 138 176 198 206 228 266 270 284 318 338 404	-1985084697876
SPT(16)	2598535454625068851	0 18 22 46 72 76 88 142 216 270 282 286 312 336 340 358	-1783720951408
SPT(16)	2598536793401065333	0 4 18 34 60 70 78 94 144 160 168 178 204 220 234 238	-444944954926
TPT(14)	2598537132062215061	0 2 18 20 126 128 180 182 186 188 210 212 240 242	-106283805198
STPT(10)	2598537546409234877	0 2 42 44 72 74 102 104 144 146	308063214618
SPT(16)	2598537575606541391	0 30 70 72 78 130 162 168 202 208 240 292 298 300 340 370	337260521132
TPT(14)	2598537744759944399	0 2 240 242 282 284 360 362 408 410 462 464 558 560	506413924140
SPT(16)	2598537856399005979	0 54 58 82 112 150 190 204 238 252 292 330 360 384 388 442	618052985720
SPT(16)	2598537893024849177	0 30 36 56 72 80 86 134 162 210 216 224 240 260 266 296	654678828918