Prime p₀= 2672609088545331701 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 28 2 58 2 40 2 10 2 58 2 (?)
a_n: 0 2 6 8 36 38 96 98 138 140 150 152 210 212
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: 212
Found by: biodoc
db: batch=82, k=14, 4 28 58 40 10 58

TPT(14)	2672608465295685569	0 2 30 32 48 50 72 74 102 104 120 122 198 200	-623249646132
STPT(12)	2672608520024178947	0 2 30 32 72 74 162 164 204 206 234 236	-568521152754
TPT(14)	2672608729086075707	0 2 90 92 174 176 180 182 222 224 300 302 342 344	-359459255994
SPT(16)	2672608800173154331	0 16 30 88 90 112 126 142 186 202 216 238 240 298 312 328	-288372177370
STPT(10)	2672608876793308877	0 2 30 32 72 74 114 116 144 146	-211752022824
TPT(16)	2672608978936390799	0 2 30 32 42 44 180 182 222 224 348 350 420 422 450 452	-109608940902
SPT(16)	2672609174242620323	0 36 60 98 110 120 140 146 168 174 194 204 216 254 278 314	85697288622
SPT(16)	2672609243490108457	0 10 16 30 36 54 82 106 210 234 262 280 286 300 306 316	154944776756
SPT(16)	2672609398034678629	0 18 60 88 90 94 108 112 150 154 168 172 174 202 244 262	309489346928
STPT(10)	2672609503881837731	0 2 30 32 78 80 126 128 156 158	415336506030
STPT(10)	2672609554172019389	0 2 48 50 90 92 132 134 180 182	465626687688