Prime p₀= 1337646841950605141 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 70 2 4 2 40 2 88 2 76 2 (?)
a_n: 0 2 18 20 90 92 96 98 138 140 228 230 306 308
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: 308
Found by: Theadalus
db: batch=77, k=14, 16 70 4 40 88 76

SPT(16)	1337645711011910177	0 14 36 54 56 66 80 92 114 126 140 150 152 170 192 206	-1130938694964
SPT(16)	1337645722477597697	0 20 30 42 54 80 90 110 126 146 156 182 194 206 216 236	-1119473007444
SPT(16)	1337645852623886711	0 2 38 50 96 110 122 162 266 306 318 332 378 390 426 428	-989326718430
SPT(16)	1337645888614227853	0 30 66 90 100 136 138 180 196 238 240 276 286 310 346 376	-953336377288
SPT(16)	1337646290359752223	0 30 58 90 120 166 184 196 258 270 288 334 364 396 424 454	-551590852918
SPT(16)	1337646821793262139	0 8 14 32 38 120 162 168 224 230 272 354 360 378 384 392	-20157343002
SPT(16)	1337646943141935649	0 18 60 114 132 150 174 202 210 238 262 280 298 352 394 412	101191330508
SPT(16)	1337646948768494561	0 18 38 92 98 140 182 192 218 228 270 312 318 372 392 410	106817889420
TPT(14)	1337647047938631821	0 2 30 32 186 188 240 242 306 308 360 362 396 398	205988026680
STPT(10)	1337647251538366397	0 2 30 32 72 74 114 116 144 146	409587761256
STPT(10)	1337647476976114061	0 2 6 8 18 20 30 32 36 38	635025508920