Prime p₀= 1976559491959721531 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 118 2 10 2 28 2 28 2 28 2 (?)
a_n: 0 2 36 38 156 158 168 170 198 200 228 230 258 260
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, 34 118 10 28 28 28

SPT(16)	1976557658059571567	0 50 56 80 84 182 204 210 236 242 264 362 366 390 396 446	-1833900149964
SPT(16)	1976557688696394329	0 12 14 18 60 84 212 252 350 390 518 542 584 588 590 602	-1803263327202
STPT(10)	1976558062454254421	0 2 6 8 18 20 30 32 36 38	-1429505467110
SPT(16)	1976558206987584443	0 6 14 26 44 60 80 84 86 90 110 126 144 156 164 170	-1284972137088
STPT(10)	1976558388602961599	0 2 18 20 60 62 102 104 120 122	-1103356759932
STPT(10)	1976558923351800839	0 2 42 44 60 62 78 80 120 122	-568607920692
STPT(10)	1976560207732812137	0 2 42 44 72 74 102 104 144 146	715773090606
STPT(10)	1976560434345952457	0 2 30 32 60 62 90 92 120 122	942386230926
SPT(16)	1976560440306402317	0 12 14 20 24 44 66 80 96 110 132 152 156 162 164 176	948346680786
SPT(16)	1976560551070060049	0 20 68 98 164 168 174 194 204 224 230 234 300 330 378 398	1059110338518
SPT(16)	1976560582835101639	0 4 18 24 54 60 94 168 190 264 298 304 334 340 354 358	1090875380108