Prime p₀= 3741311458300337639 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 4 2 82 2 106 2 46 2 40 2 (?)
a_n: 0 2 12 14 18 20 102 104 210 212 258 260 300 302
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: 302
Found by: [AF] Kalianthys
db: batch=84, k=14, 10 4 82 106 46 40

STPT(10)	3741309641207185469	0 2 30 32 120 122 210 212 240 242	-1817093152170
SPT(16)	3741310163796727129	0 10 18 60 70 82 100 144 208 252 270 282 292 334 342 352	-1294503610510
SPT(16)	3741310466076770897	0 6 14 36 44 56 62 90 116 144 150 162 170 192 200 206	-992223566742
SPT(16)	3741310756967136911	0 20 26 32 56 60 176 182 186 192 308 312 336 342 348 368	-701333200728
STPT(10)	3741310794061039091	0 2 6 8 48 50 90 92 96 98	-664239298548
STPT(10)	3741311226693632489	0 2 42 44 60 62 78 80 120 122	-231606705150
STPT(10)	3741311497842426647	0 2 12 14 42 44 72 74 84 86	39542089008
SPT(16)	3741311500872531107	0 26 30 42 126 146 156 216 236 296 306 326 410 422 426 452	42572193468
STPT(10)	3741311980832632649	0 2 42 44 60 62 78 80 120 122	522532295010
SPT(20)	3741312728374841017	0 4 24 30 52 94 100 102 154 216 220 282 334 336 342 384 406 412 432 436	1270074503378
STPT(10)	3741313167853061621	0 2 6 8 18 20 30 32 36 38	1709552723982