Prime p₀= 2031174202283286551 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 106 2 28 2 70 2 88 2 4 2 (?)
a_n: 0 2 30 32 138 140 168 170 240 242 330 332 336 338
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: 338
Found by: Landjunge
db: batch=80, k=14, 28 106 28 70 88 4

STPT(10)	2031173021992632779	0 2 18 20 30 32 42 44 60 62	-1180290653772
STPT(10)	2031173358584715641	0 2 6 8 18 20 30 32 36 38	-843698570910
SPT(16)	2031173487954667403	0 14 44 78 114 116 146 168 176 198 228 230 266 300 330 344	-714328619148
SPT(16)	2031173662410272999	0 20 48 90 92 98 110 120 182 192 204 210 212 254 282 302	-539873013552
SPT(16)	2031173711710967309	0 14 54 72 78 90 132 140 162 170 212 224 230 248 288 302	-490572319242
SPT(16)	2031174160443357659	0 8 14 30 114 120 134 140 192 198 212 218 302 318 324 332	-41839928892
SPT(16)	2031174723994120681	0 12 16 22 58 88 132 162 166 196 240 270 306 312 316 328	521710834130
STPT(10)	2031174790917815339	0 2 18 20 30 32 42 44 60 62	588634528788
SPT(16)	2031174886052117381	0 2 8 42 56 66 72 108 140 176 182 192 206 240 246 248	683768830830
SPT(16)	2031175094560348147	0 24 42 64 66 94 102 124 132 154 162 190 192 214 232 256	892277061596
SPT(16)	2031175140445741151	0 8 12 32 86 96 102 138 140 176 182 192 246 266 270 278	938162454600