Prime p₀= 2404335327691110239 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 34 2 40 2 130 2 28 2 34 2 (?)
a_n: 0 2 72 74 108 110 150 152 282 284 312 314 348 350
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: 350
Found by: [SG-FC] hl
db: batch=82, k=14, 70 34 40 130 28 34

SPT(16)	2404333938030776663	0 18 48 74 80 98 114 156 158 200 216 234 240 266 296 314	-1389660333576
STPT(10)	2404334450919667991	0 2 6 8 48 50 90 92 96 98	-876771442248
STPT(10)	2404334612482428149	0 2 18 20 30 32 42 44 60 62	-715208682090
SPT(16)	2404334895308145119	0 14 42 104 144 150 162 224 228 290 302 308 348 410 438 452	-432382965120
STPT(10)	2404334908004419211	0 2 6 8 48 50 90 92 96 98	-419686691028
SPT(16)	2404334955483284531	0 26 36 56 66 110 122 138 140 156 168 212 222 242 252 278	-372207825708
STPT(10)	2404335431285255087	0 2 42 44 72 74 102 104 144 146	103594144848
STPT(10)	2404335553014760667	0 2 30 32 42 44 54 56 84 86	225323650428
TPT(14)	2404335845011355531	0 2 48 50 66 68 90 92 168 170 180 182 210 212	517320245292
SPT(16)	2404335935620106401	0 40 78 90 96 102 112 138 190 216 226 232 238 250 288 328	607928996162
STPT(10)	2404336579661368901	0 2 6 8 48 50 90 92 96 98	1251970258662