Prime p₀= 2881271600433393521 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 58 2 76 2 10 2 4 2 10 2 (?)
a_n: 0 2 30 32 90 92 168 170 180 182 186 188 198 200
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: 200
Found by: [SG-FC] hl
db: batch=82, k=14, 28 58 76 10 4 10

SPT(16)	2881269308849070401	0 8 26 30 66 78 96 108 110 122 140 152 188 192 210 218	-2291584323120
TPT(14)	2881269525860168489	0 2 132 134 138 140 168 170 180 182 198 200 378 380	-2074573225032
SPT(16)	2881269616509531413	0 18 48 74 78 90 96 134 150 188 194 206 210 236 266 284	-1983923862108
SPT(16)	2881269839606535163	0 40 48 66 76 150 166 180 274 288 304 378 388 406 414 454	-1760826858358
STPT(10)	2881270960644944687	0 2 30 32 120 122 210 212 240 242	-639788448834
STPT(10)	2881271568448831739	0 2 18 20 30 32 42 44 60 62	-31984561782
SPT(16)	2881272096114732787	0 36 46 54 112 120 162 186 190 214 256 264 322 330 340 376	495681339266
SPT(16)	2881272376936556293	0 60 78 94 124 160 174 196 228 250 264 300 330 346 364 424	776503162772
STPT(10)	2881272688707201587	0 2 30 32 42 44 54 56 84 86	1088273808066
SPT(16)	2881272961822449043	0 36 70 78 84 90 94 120 124 150 154 160 166 174 208 244	1361389055522
SPT(16)	2881273631815099667	0 6 32 44 56 80 146 174 182 210 276 300 312 324 350 356	2031381706146