Prime p₀= 2826420356557003649 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 16 2 22 2 16 2 220 2 118 2 (?)
a_n: 0 2 60 62 78 80 102 104 120 122 342 344 462 464
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: 464
Found by: JayPi
db: batch=82, k=14, 58 16 22 16 220 118

SPT(16)	2826418393515410411	0 48 78 90 116 120 152 200 288 336 368 372 398 410 440 488	-1963041593238
SPT(16)	2826418454977722061	0 6 36 42 106 120 160 172 186 198 238 252 316 322 352 358	-1901579281588
SPT(16)	2826418514151925621	0 10 36 40 60 102 112 120 178 186 196 238 258 262 288 298	-1842405078028
SPT(16)	2826419017855264187	0 44 56 74 90 116 126 140 156 170 180 206 222 240 252 296	-1338701739462
STPT(10)	2826419246763193967	0 2 30 32 42 44 54 56 84 86	-1109793809682
SPT(16)	2826419351510879479	0 34 60 112 124 150 154 202 222 270 274 300 312 364 390 424	-1005046124170
SPT(16)	2826421234820494303	0 24 46 48 58 90 100 108 136 144 154 186 196 198 220 244	878263490654
STPT(10)	2826421722994282667	0 2 90 92 102 104 114 116 204 206	1366437279018
SPT(16)	2826421988547849247	0 12 64 112 136 142 150 156 160 166 174 180 204 252 304 316	1631990845598
STPT(10)	2826422266085777699	0 2 18 20 30 32 42 44 60 62	1909528774050
TPT(14)	2826422349624789191	0 2 66 68 78 80 108 110 180 182 246 248 288 290	1993067785542