Prime p₀= 968922113022011801 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 16 2 70 2 106 2 10 2 4 2 (?)
a_n: 0 2 30 32 48 50 120 122 228 230 240 242 246 248
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: 248
Found by: GLeeM
db: batch=76, k=14, 28 16 70 106 10 4

SPT(16)	968921361647252357	0 2 14 26 32 56 86 102 164 180 210 234 240 252 264 266	-751374759444
STPT(10)	968921367086315957	0 2 30 32 72 74 114 116 144 146	-745935695844
STPT(10)	968921666341030079	0 2 18 20 30 32 42 44 60 62	-446680981722
STPT(10)	968921696622666539	0 2 18 20 30 32 42 44 60 62	-416399345262
SPT(16)	968921732152392113	0 20 54 84 96 134 138 174 260 296 300 338 350 380 414 434	-380869619688
TPT(14)	968921978640799361	0 2 36 38 48 50 66 68 78 80 90 92 138 140	-134381212440
STPT(10)	968922354746868131	0 2 36 38 78 80 120 122 156 158	241724856330
SPT(16)	968922565906671527	0 26 50 54 120 152 186 216 230 260 294 326 392 396 420 446	452884659726
STPT(10)	968922670033661657	0 2 30 32 72 74 114 116 144 146	557011649856
SPT(16)	968923023103811311	0 22 40 42 48 70 76 142 186 252 258 280 286 288 306 328	910081799510
STPT(10)	968923248465546107	0 2 30 32 42 44 54 56 84 86	1135443534306