Prime p₀= 2402434279969488419 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 28 2 16 2 88 2 16 2 52 2 (?)
a_n: 0 2 42 44 72 74 90 92 180 182 198 200 252 254
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: 254
Found by: Penguin
db: batch=82, k=14, 40 28 16 88 16 52

STPT(10)	2402432954103810149	0 2 18 20 30 32 42 44 60 62	-1325865678270
SPT(16)	2402433488114627867	0 6 42 44 54 74 84 96 260 272 282 302 312 314 350 356	-791854860552
SPT(16)	2402433758726918573	0 18 38 98 104 108 144 150 164 170 206 210 216 276 296 314	-521242569846
STPT(10)	2402433781337013209	0 2 30 32 60 62 90 92 120 122	-498632475210
SPT(16)	2402433865952706373	0 6 28 30 40 46 76 88 156 168 198 204 214 216 238 244	-414016782046
SPT(16)	2402433935740930583	0 6 38 50 74 90 104 108 116 120 134 150 174 186 218 224	-344228557836
SPT(16)	2402434998811238869	0 10 30 52 60 100 114 130 132 148 162 202 210 232 252 262	718841750450
TPT(14)	2402435402343059231	0 2 66 68 78 80 150 152 210 212 288 290 306 308	1122373570812
STPT(10)	2402435417854910699	0 2 48 50 60 62 72 74 120 122	1137885422280
STPT(10)	2402436000658928231	0 2 6 8 48 50 90 92 96 98	1720689439812
STPT(10)	2402436145126615361	0 2 30 32 78 80 126 128 156 158	1865157126942