Prime p₀= 2598261477249579899 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 28 2 10 2 58 2 34 2 40 2 (?)
a_n: 0 2 60 62 90 92 102 104 162 164 198 200 240 242
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: 242
Found by: RFGuy_KCCO
db: batch=82, k=14, 58 28 10 58 34 40

SPT(16)	2598258624993369829	0 18 52 54 78 84 124 142 150 168 208 214 238 240 274 292	-2852256210070
TPT(14)	2598258842898059039	0 2 72 74 138 140 228 230 282 284 348 350 360 362	-2634351520860
SPT(16)	2598260486365189993	0 40 58 84 96 114 184 196 228 240 310 328 340 366 384 424	-990884389906
STPT(10)	2598260905950923867	0 2 90 92 132 134 174 176 264 266	-571298656032
SPT(16)	2598260920820953873	0 4 28 70 78 90 94 108 130 144 148 160 168 210 234 238	-556428626026
SPT(16)	2598261293820308719	0 12 72 130 168 180 210 228 304 322 352 364 402 460 520 532	-183429271180
STPT(10)	2598261600498052829	0 2 18 20 30 32 42 44 60 62	123248472930
STPT(12)	2598261939092693231	0 2 96 98 150 152 156 158 210 212 306 308	461843113332
SPT(16)	2598262031234935111	0 16 48 76 138 156 198 268 270 340 382 400 462 490 522 538	553985355212
SPT(16)	2598262534996301659	0 30 114 150 160 178 198 202 360 364 384 402 412 448 532 562	1057746721760
STPT(10)	2598262846885521377	0 2 42 44 72 74 102 104 144 146	1369635941478