Prime p₀= 1463084861794313621 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 46 2 70 2 34 2 28 2 40 2 (?)
a_n: 0 2 90 92 138 140 210 212 246 248 276 278 318 320
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: 320
Found by: [AF>Libristes] Elorak
db: batch=78, k=14, 88 46 70 34 28 40

SPT(16)	1463083335599207191	0 22 60 78 88 108 136 148 150 162 190 210 220 238 276 298	-1526195106430
TPT(14)	1463083598769761399	0 2 12 14 60 62 138 140 168 170 222 224 270 272	-1263024552222
SPT(16)	1463084083666070291	0 2 18 32 38 48 62 66 122 126 140 150 156 170 186 188	-778128243330
SPT(16)	1463084247324024289	0 24 94 112 132 138 144 208 264 328 334 340 360 378 448 472	-614470289332
SPT(16)	1463084681366695469	0 38 54 68 104 108 122 144 188 210 224 228 264 278 294 332	-180427618152
SPT(16)	1463084790916351697	0 6 54 96 120 122 134 164 222 252 264 266 290 332 380 386	-70877961924
SPT(16)	1463085263132613577	0 36 42 66 94 132 136 190 246 300 304 342 370 394 400 436	401338299956
STPT(10)	1463085726265584917	0 2 12 14 42 44 72 74 84 86	864471271296
SPT(16)	1463085907483061777	0 14 44 80 90 114 126 170 186 230 242 266 276 312 342 356	1045688748156
SPT(16)	1463085995292454909	0 10 22 48 52 82 90 132 238 280 288 318 322 348 360 370	1133498141288
STPT(10)	1463086483262846339	0 2 78 80 120 122 162 164 240 242	1621468532718