Prime p₀= 830318545549204037 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 10 2 16 2 112 2 34 2 52 2 (?)
a_n: 0 2 30 32 42 44 60 62 174 176 210 212 264 266
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: 266
Found by: RFGuy_KCCO
db: batch=73, k=14, 28 10 16 112 34 52

SPT(16)	830317866389189653	0 76 90 100 126 150 156 208 228 280 286 310 336 346 360 436	-679160014384
STPT(10)	830318197581521531	0 2 36 38 78 80 120 122 156 158	-347967682506
SPT(16)	830318243524768549	0 28 40 48 70 90 108 118 210 220 238 258 280 288 300 328	-302024435488
TPT(14)	830318382800168111	0 2 120 122 126 128 210 212 300 302 486 488 498 500	-162749035926
SPT(16)	830318431365343189	0 10 12 34 52 54 84 90 112 118 148 150 168 190 192 202	-114183860848
SPT(16)	830318444623848979	0 24 30 64 112 192 240 304 330 394 442 522 570 604 610 634	-100925355058
SPT(16)	830318620973519933	0 50 66 78 84 120 126 146 168 188 194 230 236 248 264 314	75424315896
STPT(10)	830318649072812981	0 2 6 8 48 50 90 92 96 98	103523608944
STPT(10)	830318682027098819	0 2 18 20 60 62 102 104 120 122	136477894782
SPT(16)	830319007285409987	0 20 36 50 66 72 74 80 126 132 134 140 156 170 186 206	461736205950
SPT(16)	830319135452520631	0 30 40 106 120 142 162 168 250 256 276 298 312 378 388 418	589903316594