Prime p₀= 1943835394845220739 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 10 2 76 2 88 2 40 2 34 2 (?)
a_n: 0 2 30 32 42 44 120 122 210 212 252 254 288 290
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: Landjunge
db: batch=80, k=14, 28 10 76 88 40 34

SPT(16)	1943833639826242937	0 54 90 146 156 180 194 212 264 282 296 320 330 386 422 476	-1755018977802
STPT(10)	1943833781661098681	0 2 6 8 48 50 90 92 96 98	-1613184122058
STPT(10)	1943833872168737357	0 2 30 32 42 44 54 56 84 86	-1522676483382
SPT(16)	1943833954186127897	0 26 60 90 104 132 144 152 174 182 194 222 236 266 300 326	-1440659092842
STPT(10)	1943834691159967811	0 2 6 8 18 20 30 32 36 38	-703685252928
SPT(16)	1943835362048821699	0 58 84 94 108 124 150 178 210 238 264 280 294 304 330 388	-32796399040
SPT(16)	1943835477708033199	0 12 42 52 72 78 90 108 124 142 154 160 180 190 220 232	82862812460
STPT(10)	1943835576654661601	0 2 6 8 18 20 30 32 36 38	181809440862
TPT(14)	1943835738961545587	0 2 42 44 54 56 132 134 144 146 174 176 222 224	344116324848
SPT(16)	1943835810965544343	0 24 58 60 64 66 78 84 130 136 148 150 154 156 190 214	416120323604
SPT(16)	1943836333368259919	0 18 30 68 140 194 210 224 264 278 294 348 420 458 470 488	938523039180