Prime p₀= 26072803461307037 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 70 2 106 2 16 2 22 2 16 2 (?)
a_n: 0 2 42 44 114 116 222 224 240 242 264 266 282 284
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: 284
Found by: ChelseaOilman
db: batch=65, k=14, 40 70 106 16 22 16

SPT(14)	26072766777996083	0 48 54 56 74 84 96 98 110 120 138 140 146 194	-36683310954
SPT(14)	26072767700737697	0 2 32 90 176 192 200 216 224 240 326 384 414 416	-35760569340
SPT(14)	26072774276805569	0 14 24 42 54 62 80 162 180 188 200 218 228 242	-29184501468
SPT(14)	26072776234233529	0 22 82 118 138 142 160 162 180 184 204 240 300 322	-27227073508
SPT(14)	26072784615692281	0 10 48 60 70 78 136 162 220 228 238 250 288 298	-18845614756
TPT(14)	26072791484391347	0 2 120 122 132 134 180 182 192 194 222 224 234 236	-11976915690
SPT(14)	26072803626121621	0 36 42 52 66 70 78 220 228 232 246 256 262 298	164814584
SPT(14)	26072804267430449	0 14 68 78 90 114 128 144 158 182 194 204 258 272	806123412
SPT(16)	26072805017978791	0 18 30 46 72 76 108 132 196 220 252 256 282 298 310 328	1556671754
SPT(14)	26072806928362357	0 16 42 66 72 102 120 142 160 190 196 220 246 262	3467055320
SPT(14)	26072814546822947	0 30 50 60 72 74 92 102 120 122 134 144 164 194	11085515910