Prime p₀= 1204864138038765287 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 4 2 82 2 94 2 52 2 4 2 (?)
a_n: 0 2 24 26 30 32 114 116 210 212 264 266 270 272
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: 272
Found by: biodoc
db: batch=77, k=14, 22 4 82 94 52 4

SPT(16)	1204863778914875851	0 30 52 78 100 120 126 148 330 352 358 378 400 426 448 478	-359123889436
SPT(16)	1204863842380338529	0 22 54 60 64 88 90 100 102 112 114 138 142 148 180 202	-295658426758
SPT(16)	1204863956178224021	0 56 92 170 218 240 278 302 366 390 428 450 498 576 612 668	-181860541266
SPT(16)	1204863994667446991	0 72 80 120 138 150 168 206 252 290 308 320 338 378 386 458	-143371318296
SPT(16)	1204864046562658567	0 16 40 82 130 150 156 192 340 376 382 402 450 492 516 532	-91476106720
TPT(14)	1204864052553167141	0 2 18 20 36 38 48 50 186 188 210 212 258 260	-85485598146
SPT(16)	1204864280068598707	0 6 24 34 60 126 130 166 174 210 214 280 306 316 334 340	142029833420
SPT(16)	1204864795671733213	0 6 10 30 36 58 64 136 138 210 216 238 244 264 268 274	657632967926
SPT(16)	1204864800988766219	0 8 12 24 42 54 98 108 224 234 278 290 308 320 324 332	662950000932
STPT(10)	1204865264360406767	0 2 24 26 42 44 60 62 84 86	1126321641480
SPT(18)	1204865373697452329	0 18 38 44 78 80 98 134 210 332 408 444 462 464 498 504 524 542	1235658687042