Prime p₀= 2350003026061251359 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 16 2 10 2 64 2 58 2 22 2 (?)
a_n: 0 2 12 14 30 32 42 44 108 110 168 170 192 194
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: 194
Found by: suriv
db: batch=81, k=14, 10 16 10 64 58 22

SPT(16)	2350002041622777557	0 2 26 30 66 92 122 140 192 210 240 266 302 306 330 332	-984438473802
SPT(16)	2350002257026843649	0 18 20 42 72 102 132 150 230 248 278 308 338 360 362 380	-769034407710
SPT(16)	2350002363602917369	0 42 52 64 84 90 162 178 234 250 322 328 348 360 370 412	-662458333990
STPT(10)	2350002691488736577	0 2 42 44 72 74 102 104 144 146	-334572514782
STPT(10)	2350002839540678009	0 2 78 80 210 212 342 344 420 422	-186520573350
STPT(10)	2350002842871018659	0 2 18 20 30 32 42 44 60 62	-183190232700
SPT(13)	2350003176521031487	0 66 96 120 150 162 186 210 222 252 276 306 372	150459780128
SPT(16)	2350003358239216949	0 68 78 104 114 198 210 240 278 308 320 404 414 440 450 518	332177965590
STPT(10)	2350003902062895341	0 2 6 8 48 50 90 92 96 98	876001643982
SPT(16)	2350004155953349339	0 12 28 34 54 70 78 90 112 124 132 148 168 174 190 202	1129892097980
SPT(16)	2350004172577593277	0 4 12 30 40 42 64 82 102 120 142 144 154 172 180 184	1146516341918