Prime p₀= 1257992878899405839 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 88 2 10 2 10 2 88 2 4 2 (?)
a_n: 0 2 78 80 168 170 180 182 192 194 282 284 288 290
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: 290
Found by: Theadalus
db: batch=77, k=14, 76 88 10 10 88 4

SPT(16)	1257990113134611463	0 34 46 48 76 88 90 94 210 214 216 228 256 258 270 304	-2765764794376
SPT(16)	1257990640559763427	0 22 42 52 66 102 126 130 132 136 160 196 210 220 240 262	-2238339642412
SPT(16)	1257990801682524779	0 20 50 78 80 90 158 168 224 234 302 312 314 342 372 392	-2077216881060
SPT(16)	1257991330421266247	0 36 42 86 102 140 200 224 372 396 456 494 510 554 560 596	-1548478139592
STPT(10)	1257991757382521207	0 2 54 56 72 74 90 92 144 146	-1121516884632
SPT(16)	1257992690552226533	0 24 48 78 98 144 150 164 210 224 230 276 296 326 350 374	-188347179306
STPT(10)	1257992878899405917	0 2 90 92 102 104 114 116 204 206	78
SPT(16)	1257992969260557259	0 78 100 132 142 144 198 228 244 274 328 330 340 372 394 472	90361151420
TPT(14)	1257993107860008647	0 2 54 56 150 152 204 206 240 242 264 266 282 284	228960602808
TPT(14)	1257993136803912347	0 2 12 14 54 56 102 104 144 146 192 194 252 254	257904506508
STPT(10)	1257993986450912507	0 2 24 26 42 44 60 62 84 86	1107551506668