Prime p₀= 2959796912928017579 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 22 2 88 2 64 2 28 2 28 2 (?)
a_n: 0 2 18 20 42 44 132 134 198 200 228 230 258 260
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: 260
Found by: Orange Kid
db: batch=82, k=14, 16 22 88 64 28 28

STPT(12)	2959795896879625709	0 2 12 14 42 44 48 50 78 80 90 92	-1016048391870
SPT(16)	2959796010348251611	0 36 52 60 70 88 102 138 160 196 210 228 238 246 262 298	-902579765968
STPT(10)	2959796291016898469	0 2 12 14 90 92 168 170 180 182	-621911119110
TPT(14)	2959796309016316631	0 2 36 38 66 68 108 110 156 158 180 182 198 200	-603911700948
SPT(16)	2959796439214103327	0 26 44 62 66 86 90 114 122 146 150 170 174 192 210 236	-473713914252
SPT(16)	2959796626830626353	0 16 58 64 114 124 130 156 238 264 270 280 330 336 378 394	-286097391226
SPT(16)	2959796967772459799	0 32 50 78 140 158 162 164 228 230 234 252 314 342 360 392	54844442220
STPT(10)	2959796985497386121	0 2 6 8 48 50 90 92 96 98	72569368542
STPT(10)	2959797049472129057	0 2 90 92 102 104 114 116 204 206	136544111478
SPT(16)	2959797247783979171	0 6 30 32 38 66 72 122 126 176 182 210 216 218 242 248	334855961592
SPT(16)	2959797376275844597	0 34 54 70 82 100 126 136 180 190 216 234 246 262 282 316	463347827018