Prime p₀= 2333430103177241567 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 70 2 10 2 154 2 70 2 40 2 (?)
a_n: 0 2 30 32 102 104 114 116 270 272 342 344 384 386
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: 386
Found by: Orange Kid
db: batch=81, k=14, 28 70 10 154 70 40

TPT(14)	2333428025215301429	0 2 42 44 48 50 72 74 240 242 252 254 312 314	-2077961940138
SPT(16)	2333428195235740411	0 18 30 48 58 76 90 100 186 196 210 228 238 256 268 286	-1907941501156
STPT(10)	2333428525254735707	0 2 30 32 42 44 54 56 84 86	-1577922505860
SPT(16)	2333429173394354611	0 28 76 120 136 142 160 198 280 318 336 342 358 402 450 478	-929782886956
TPT(14)	2333429310062689841	0 2 78 80 120 122 168 170 186 188 210 212 228 230	-793114551726
SPT(16)	2333430086667934567	0 10 34 66 82 166 180 190 276 286 300 384 400 432 456 466	-16509307000
SPT(16)	2333430224607089249	0 50 90 104 110 122 132 140 174 182 192 204 210 224 264 314	121429847682
STPT(10)	2333430343396645457	0 2 30 32 42 44 54 56 84 86	240219403890
STPT(10)	2333430740162108087	0 2 54 56 72 74 90 92 144 146	636984866520
SPT(16)	2333431004724065797	0 24 40 46 162 166 180 196 270 286 300 304 420 426 442 466	901546824230
SPT(16)	2333431627434922759	0 10 24 30 82 150 222 294 400 472 544 612 664 670 684 694	1524257681192