Prime p₀= 1205356539129833351 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 10 2 28 2 10 2 58 2 94 2 (?)
a_n: 0 2 6 8 18 20 48 50 60 62 120 122 216 218
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: 218
Found by: Megacruncher
db: batch=77, k=14, 4 10 28 10 58 94

STPT(10)	1205355528096561011	0 2 30 32 78 80 126 128 156 158	-1011033272340
SPT(16)	1205355577285263121	0 28 48 72 102 156 160 172 186 198 202 256 286 310 330 358	-961844570230
SPT(16)	1205356209810781757	0 32 72 126 144 156 176 186 260 270 290 302 320 374 414 446	-329319051594
SPT(20)	1205356215365591819	0 8 24 50 74 92 134 140 182 188 204 210 252 258 300 318 342 368 384 392	-323764241532
STPT(10)	1205356276521019949	0 2 18 20 30 32 42 44 60 62	-262608813402
SPT(16)	1205356508899244309	0 12 14 38 44 48 62 128 234 300 314 318 324 348 350 362	-30230589042
SPT(16)	1205356749733106099	0 12 54 84 98 134 152 174 218 240 258 294 308 338 380 392	210603272748
SPT(16)	1205357509116174313	0 6 34 40 84 130 168 196 228 256 294 340 384 390 418 424	969986340962
STPT(10)	1205357528638366247	0 2 60 62 72 74 84 86 144 146	989508532896
SPT(16)	1205357594511462829	0 12 30 34 54 100 142 160 342 360 402 448 468 472 490 502	1055381629478
SPT(16)	1205357625587574301	0 6 30 40 76 78 82 120 238 276 280 282 318 328 352 358	1086457740950