Prime p₀= 732313628625834881 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 100 2 136 2 130 2 130 2 16 2 (?)
a_n: 0 2 6 8 108 110 246 248 378 380 510 512 528 530
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: 530
Found by: Theadalus
db: batch=73, k=14, 4 100 136 130 130 16

SPT(16)	732312514277870941	0 16 22 28 52 70 108 132 136 160 198 216 240 246 252 268	-1114347963940
SPT(16)	732312715327670291	0 2 68 72 80 96 122 126 152 156 182 198 206 210 276 278	-913298164590
SPT(16)	732312746940206143	0 4 28 60 90 106 148 154 180 186 228 244 274 306 330 334	-881685628738
STPT(10)	732312911402305991	0 2 6 8 18 20 30 32 36 38	-717223528890
SPT(16)	732313285125704791	0 150 160 192 196 208 210 280 468 538 540 552 556 588 598 748	-343500130090
STPT(12)	732313347653243177	0 2 54 56 84 86 90 92 120 122 174 176	-280972591704
SPT(16)	732313646165783797	0 10 30 76 82 96 120 124 192 196 220 234 240 286 306 316	17539948916
SPT(16)	732313663019765809	0 24 34 48 52 54 72 112 120 160 178 180 184 198 208 232	34393930928
TPT(14)	732314065942247441	0 2 186 188 198 200 240 242 288 290 366 368 498 500	437316412560
STPT(10)	732314227433074499	0 2 12 14 90 92 168 170 180 182	598807239618
STPT(10)	732314355781679519	0 2 30 32 60 62 90 92 120 122	727155844638