Prime p₀= 26072791484391347 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 118 2 10 2 46 2 10 2 28 2 10 2 (?)
a_n: 0 2 120 122 132 134 180 182 192 194 222 224 234 236
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: 236
Found by: ChelseaOilman
db: batch=65, k=14, 118 10 46 10 28 10

SPT(14)	26072763451188689	0 44 54 72 74 114 132 152 170 210 212 230 240 284	-28033202658
SPT(14)	26072766777996083	0 48 54 56 74 84 96 98 110 120 138 140 146 194	-24706395264
SPT(14)	26072767700737697	0 2 32 90 176 192 200 216 224 240 326 384 414 416	-23783653650
SPT(14)	26072774276805569	0 14 24 42 54 62 80 162 180 188 200 218 228 242	-17207585778
SPT(14)	26072776234233529	0 22 82 118 138 142 160 162 180 184 204 240 300 322	-15250157818
SPT(14)	26072784615692281	0 10 48 60 70 78 136 162 220 228 238 250 288 298	-6868699066
TPT(14)	26072803461307037	0 2 42 44 114 116 222 224 240 242 264 266 282 284	11976915690
SPT(14)	26072803626121621	0 36 42 52 66 70 78 220 228 232 246 256 262 298	12141730274
SPT(14)	26072804267430449	0 14 68 78 90 114 128 144 158 182 194 204 258 272	12783039102
SPT(16)	26072805017978791	0 18 30 46 72 76 108 132 196 220 252 256 282 298 310 328	13533587444
SPT(14)	26072806928362357	0 16 42 66 72 102 120 142 160 190 196 220 246 262	15443971010