Prime p₀= 2338525906615139177 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 208 2 118 2 4 2 58 2 10 2 (?)
a_n: 0 2 24 26 234 236 354 356 360 362 420 422 432 434
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: 434
Found by: sabres1616
db: batch=81, k=14, 22 208 118 4 58 10

SPT(16)	2338525215097762583	0 48 78 96 128 146 168 176 180 188 210 228 260 278 308 356	-691517376594
SPT(16)	2338525415702278249	0 10 12 58 72 82 108 124 168 184 210 220 234 280 282 292	-490912860928
SPT(16)	2338525716491879539	0 28 42 70 72 84 102 114 118 130 148 160 162 190 204 232	-190123259638
STPT(10)	2338525720944173009	0 2 18 20 30 32 42 44 60 62	-185670966168
SPT(16)	2338525819248538057	0 6 10 12 34 46 84 124 132 172 210 222 244 246 250 256	-87366601120
TPT(14)	2338525906383414071	0 2 18 20 30 32 78 80 120 122 126 128 156 158	-231725106
STPT(10)	2338526312242999829	0 2 18 20 30 32 42 44 60 62	405627860652
STPT(10)	2338526478976562879	0 2 12 14 90 92 168 170 180 182	572361423702
SPT(16)	2338527259905875897	0 56 84 92 122 134 144 152 174 182 192 204 234 242 270 326	1353290736720
SPT(16)	2338527457928539747	0 24 42 84 150 184 226 232 234 240 282 316 382 424 442 466	1551313400570
TPT(14)	2338527694183324997	0 2 12 14 132 134 222 224 234 236 342 344 390 392	1787568185820