Prime p₀= 2874849881025062921 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 46 2 28 2 88 2 28 2 58 2 (?)
a_n: 0 2 78 80 126 128 156 158 246 248 276 278 336 338
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: 338
Found by: [SG-FC] hl
db: batch=82, k=14, 76 46 28 88 28 58

SPT(16)	2874847201629832081	0 30 46 76 126 132 136 178 210 252 256 262 312 342 358 388	-2679395230840
SPT(16)	2874847419022979863	0 16 36 40 114 154 180 184 210 214 240 280 354 358 378 394	-2462002083058
SPT(16)	2874847454453655071	0 2 42 56 108 132 138 156 182 200 206 230 282 296 336 338	-2426571407850
STPT(10)	2874848565884242601	0 2 96 98 108 110 120 122 216 218	-1315140820320
STPT(10)	2874848869494385877	0 2 30 32 60 62 90 92 120 122	-1011530677044
SPT(16)	2874849698965950169	0 10 52 58 70 72 78 88 132 142 148 150 162 168 210 220	-182059112752
SPT(16)	2874849884219622901	0 42 70 72 82 96 102 130 138 166 172 186 196 198 226 268	3194559980
SPT(16)	2874850265823022681	0 42 112 130 160 162 172 250 252 330 340 342 372 390 460 502	384797959760
STPT(10)	2874850560694374761	0 2 36 38 78 80 120 122 156 158	679669311840
STPT(10)	2874850576435935707	0 2 30 32 42 44 54 56 84 86	695410872786
STPT(10)	2874850643935614101	0 2 6 8 18 20 30 32 36 38	762910551180