Prime p₀= 1295395487912729237 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 148 2 28 2 28 2 22 2 4 2 22 2 (?)
a_n: 0 2 150 152 180 182 210 212 234 236 240 242 264 266
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: 266
Found by: Cruncher Pete
db: batch=77, k=14, 148 28 28 22 4 22

SPT(16)	1295394497975389991	0 20 32 56 60 62 78 126 152 200 216 218 222 246 258 278	-989937339246
TPT(14)	1295394584786032517	0 2 42 44 120 122 150 152 222 224 294 296 360 362	-903126696720
SPT(16)	1295394691860049379	0 8 20 42 62 68 78 158 162 242 252 258 278 300 312 320	-796052679858
STPT(10)	1295394915874986539	0 2 18 20 30 32 42 44 60 62	-572037742698
SPT(16)	1295395096059673967	0 36 80 86 120 122 140 206 210 276 294 296 330 336 380 416	-391853055270
SPT(16)	1295395429873966349	0 12 38 54 104 132 192 210 242 260 320 348 398 414 440 452	-58038762888
STPT(10)	1295396280150231401	0 2 6 8 18 20 30 32 36 38	792237502164
SPT(16)	1295396372216378513	0 8 14 48 68 78 134 146 168 180 236 246 266 300 306 314	884303649276
STPT(10)	1295396390170598921	0 2 6 8 18 20 30 32 36 38	902257869684
SPT(16)	1295396412402338341	0 18 28 30 76 78 90 130 186 226 238 240 286 288 298 316	924489609104
SPT(16)	1295396696114843177	0 20 66 74 114 120 140 206 294 360 380 386 426 434 480 500	1208202113940