Prime p₀= 3031604262332723849 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 58 2 10 2 64 2 82 2 34 2 (?)
a_n: 0 2 30 32 90 92 102 104 168 170 252 254 288 290
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: [SG-FC] hl
db: batch=82, k=14, 28 58 10 64 82 34

SPT(18)	3031602819283434947	0 12 24 56 92 122 176 236 266 270 300 360 414 444 480 512 524 536	-1443049288902
STPT(10)	3031603682269132127	0 2 42 44 132 134 222 224 264 266	-580063591722
SPT(16)	3031603690423158509	0 2 44 60 84 138 168 170 192 194 224 278 302 318 360 362	-571909565340
TPT(14)	3031603902788993507	0 2 24 26 150 152 162 164 264 266 372 374 384 386	-359543730342
STPT(10)	3031603964011025111	0 2 36 38 78 80 120 122 156 158	-298321698738
SPT(16)	3031604053433718907	0 30 46 70 72 82 124 130 156 162 204 214 216 240 256 286	-208899004942
SPT(16)	3031604303054537393	0 84 96 140 144 150 156 198 206 248 254 260 264 308 320 404	40721813544
SPT(16)	3031604709968996657	0 12 14 30 44 96 156 210 236 290 350 402 416 432 434 446	447636272808
SPT(16)	3031604715076199543	0 26 30 56 68 78 110 114 140 144 176 186 198 224 228 254	452743475694
SPT(16)	3031604939646696671	0 26 42 66 68 86 96 140 168 212 222 240 242 266 282 308	677313972822
SPT(16)	3031604962180018339	0 12 30 124 154 168 192 198 274 280 304 318 348 442 460 472	699847294490