Prime p₀= 2679922554472994351 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 70 2 154 2 10 2 16 2 22 2 (?)
a_n: 0 2 48 50 120 122 276 278 288 290 306 308 330 332
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: 332
Found by: JayPi
db: batch=82, k=14, 46 70 154 10 16 22

STPT(10)	2679921580410559151	0 2 6 8 18 20 30 32 36 38	-974062435200
TPT(14)	2679921754843084181	0 2 6 8 48 50 78 80 108 110 138 140 150 152	-799629910170
TPT(14)	2679921868467081629	0 2 18 20 72 74 138 140 150 152 180 182 198 200	-686005912722
SPT(16)	2679921936751535741	0 12 20 48 68 102 108 122 126 140 146 180 200 228 236 248	-617721458610
STPT(10)	2679922108649968199	0 2 42 44 90 92 138 140 180 182	-445823026152
SPT(16)	2679922511741873197	0 24 42 52 60 94 100 120 184 204 210 244 252 262 280 304	-42731121154
STPT(10)	2679922855724404061	0 2 30 32 78 80 126 128 156 158	301251409710
SPT(16)	2679922983553766749	0 18 28 78 88 94 100 102 190 192 198 204 214 264 274 292	429080772398
STPT(10)	2679923221310885489	0 2 18 20 30 32 42 44 60 62	666837891138
TPT(14)	2679923416055708309	0 2 12 14 60 62 102 104 132 134 198 200 222 224	861582713958
SPT(16)	2679923430210941977	0 34 90 96 132 142 174 196 240 262 294 304 340 346 402 436	875737947626