Prime p₀= 2098989655977430241 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 148 2 10 2 4 2 22 2 16 2 (?)
a_n: 0 2 48 50 198 200 210 212 216 218 240 242 258 260
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: 260
Found by: Landjunge
db: batch=80, k=14, 46 148 10 4 22 16

TPT(14)	2098988433769707449	0 2 48 50 72 74 90 92 102 104 138 140 168 170	-1222207722792
STPT(10)	2098988665666716881	0 2 36 38 78 80 120 122 156 158	-990310713360
STPT(10)	2098988763247146317	0 2 30 32 42 44 54 56 84 86	-892730283924
SPT(16)	2098988829454890617	0 56 72 74 104 114 132 156 170 194 212 222 252 254 270 326	-826522539624
TPT(14)	2098988899715545949	0 2 60 62 150 152 192 194 210 212 378 380 408 410	-756261884292
SPT(16)	2098989152142834383	0 24 54 66 84 110 134 146 168 180 204 230 248 260 290 314	-503834595858
SPT(16)	2098989832157553719	0 2 14 24 30 42 44 80 102 138 140 152 158 168 180 182	176180123478
SPT(16)	2098990296452436487	0 22 24 64 66 114 144 150 196 202 232 280 282 322 324 346	640475006246
SPT(16)	2098990399956892859	0 50 72 120 140 152 158 182 198 222 228 240 260 308 330 380	743979462618
SPT(16)	2098990583317012949	0 2 14 20 42 44 84 128 174 218 258 260 282 288 300 302	927339582708
SPT(16)	2098990755145090283	0 50 96 98 140 210 218 236 270 288 296 366 408 410 456 506	1099167660042