Prime p₀= 782515990541442959 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 22 2 94 2 58 2 10 2 16 2 (?)
a_n: 0 2 48 50 72 74 168 170 228 230 240 242 258 260
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: [SG]FX
db: batch=73, k=14, 46 22 94 58 10 16

SPT(16)	782514720300265487	0 6 20 42 66 80 104 170 216 282 306 320 344 366 380 386	-1270241177472
TPT(14)	782514749054389319	0 2 90 92 138 140 180 182 222 224 258 260 300 302	-1241487053640
SPT(16)	782515599690950233	0 28 66 76 94 108 114 124 150 160 166 180 198 208 246 274	-390850492726
SPT(16)	782515660225349509	0 28 70 72 132 154 184 202 330 348 378 400 460 462 504 532	-330316093450
SPT(16)	782515685262863117	0 20 30 42 66 90 104 114 122 132 146 170 194 206 216 236	-305278579842
SPT(16)	782515974988432469	0 24 32 50 54 92 98 134 228 264 270 308 312 330 338 362	-15553010490
SPT(16)	782516084783078231	0 50 78 122 132 152 192 210 230 248 288 308 318 362 390 440	94241635272
STPT(10)	782516136643689947	0 2 42 44 72 74 102 104 144 146	146102246988
SPT(16)	782516287221781121	0 6 48 62 66 78 120 150 158 188 230 242 246 260 302 308	296680338162
SPT(16)	782516808515762363	0 26 30 36 66 114 120 198 206 284 290 338 368 374 378 404	817974319404
SPT(20)	782516881492573439	0 14 20 24 80 90 92 108 134 158 234 258 284 300 302 312 368 372 378 392	890951130480