Prime p₀= 2080664829816646397 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 28 2 22 2 16 2 16 2 10 2 (?)
a_n: 0 2 30 32 60 62 84 86 102 104 120 122 132 134
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: 134
Found by: suriv
db: batch=80, k=14, 28 28 22 16 16 10

SPT(13)	2080663707845111951	0 6 18 48 66 90 108 126 150 168 198 210 216	-1121971534446
TPT(14)	2080663755761770721	0 2 36 38 78 80 150 152 258 260 276 278 300 302	-1074054875676
STPT(10)	2080663849279665701	0 2 6 8 18 20 30 32 36 38	-980536980696
SPT(16)	2080663989651411587	0 14 24 36 44 80 122 140 156 174 216 252 260 272 282 296	-840165234810
TPT(14)	2080664467921180949	0 2 90 92 108 110 150 152 162 164 192 194 210 212	-361895465448
SPT(16)	2080664687420872193	0 60 144 156 170 186 198 254 300 356 368 384 398 410 494 554	-142395774204
STPT(10)	2080664862232867247	0 2 30 32 42 44 54 56 84 86	32416220850
SPT(16)	2080665023229748799	0 68 72 78 90 114 120 134 138 152 158 182 194 200 204 272	193413102402
STPT(10)	2080665071512651229	0 2 48 50 90 92 132 134 180 182	241696004832
SPT(16)	2080665278110025443	0 16 40 46 48 70 90 114 130 154 174 196 198 204 228 244	448293379046
STPT(10)	2080665638318032901	0 2 36 38 78 80 120 122 156 158	808501386504