Prime p₀= 2801219749568600819 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 10 2 10 2 88 2 88 2 124 2 (?)
a_n: 0 2 18 20 30 32 42 44 132 134 222 224 348 350
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: 350
Found by: JayPi
db: batch=82, k=14, 16 10 10 88 88 124

SPT(16)	2801219418559506311	0 20 66 98 110 132 152 168 230 246 266 288 300 332 378 398	-331009094508
SPT(16)	2801219443051925807	0 32 140 162 170 186 192 246 296 350 356 372 380 402 510 542	-306516675012
SPT(16)	2801219589403828289	0 2 32 48 72 120 134 144 158 168 182 230 254 270 300 302	-160164772530
STPT(10)	2801219698296316397	0 2 42 44 72 74 102 104 144 146	-51272284422
SPT(16)	2801219702524729853	0 20 68 78 86 90 138 164 180 206 254 258 266 276 324 344	-47043870966
SPT(16)	2801219716551804061	0 10 30 78 90 100 106 142 216 252 258 268 280 328 348 358	-33016796758
TPT(14)	2801220147968905667	0 2 12 14 90 92 102 104 132 134 144 146 252 254	398400304848
STPT(10)	2801220587768947427	0 2 30 32 72 74 114 116 144 146	838200346608
SPT(16)	2801220995429196559	0 24 84 94 130 154 160 258 274 372 378 402 438 448 508 532	1245860595740
SPT(16)	2801221429260275243	0 68 78 126 140 180 204 260 264 320 344 384 398 446 456 524	1679691674424
STPT(10)	2801221509474674717	0 2 12 14 72 74 132 134 144 146	1759906073898