Prime p₀= 1968297167176143107 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 76 2 70 2 166 2 40 2 58 2 (?)
a_n: 0 2 42 44 120 122 192 194 360 362 402 404 462 464
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: 464
Found by: Time_Traveler
db: batch=80, k=14, 40 76 70 166 40 58

TPT(14)	1968296201294565137	0 2 30 32 90 92 144 146 204 206 312 314 342 344	-965881577970
SPT(16)	1968296595958543139	0 18 32 48 92 102 108 158 174 224 230 240 284 300 314 332	-571217599968
TPT(14)	1968296613415435361	0 2 60 62 90 92 216 218 240 242 246 248 300 302	-553760707746
STPT(10)	1968296721319121447	0 2 42 44 72 74 102 104 144 146	-445857021660
STPT(10)	1968296852372609621	0 2 36 38 78 80 120 122 156 158	-314803533486
SPT(16)	1968297113821292641	0 10 28 48 60 90 102 118 162 178 190 220 232 252 270 280	-53354850466
TPT(14)	1968297408997472237	0 2 42 44 60 62 102 104 114 116 144 146 234 236	241821329130
SPT(16)	1968297782957886713	0 50 86 116 128 146 168 188 198 218 240 258 270 300 336 386	615781743606
STPT(10)	1968298084058685011	0 2 6 8 48 50 90 92 96 98	916882541904
SPT(16)	1968298168945941211	0 16 18 42 60 78 82 100 108 126 130 148 166 190 192 208	1001769798104
STPT(10)	1968298255329342161	0 2 36 38 78 80 120 122 156 158	1088153199054