Prime p₀= 1688391833198120837 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 40 2 76 2 16 2 58 2 10 2 (?)
a_n: 0 2 12 14 54 56 132 134 150 152 210 212 222 224
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: 224
Found by: CoolAtchOk
db: batch=79, k=14, 10 40 76 16 58 10

SPT(16)	1688389876894140257	0 36 54 80 92 96 104 110 216 222 230 234 246 272 290 326	-1956303980580
STPT(10)	1688390101858731239	0 2 48 50 90 92 132 134 180 182	-1731339389598
TPT(14)	1688390122103339327	0 2 12 14 24 26 114 116 162 164 180 182 252 254	-1711094781510
SPT(16)	1688390998085768549	0 74 80 108 140 180 198 200 222 224 242 282 314 342 348 422	-835112352288
STPT(10)	1688391564650819849	0 2 18 20 30 32 42 44 60 62	-268547300988
STPT(10)	1688391714672128021	0 2 6 8 48 50 90 92 96 98	-118525992816
SPT(16)	1688391951711552821	0 2 42 48 128 152 236 272 276 312 396 420 500 506 546 548	118513431984
STPT(10)	1688392026429636347	0 2 30 32 42 44 54 56 84 86	193231515510
SPT(16)	1688392441485968809	0 28 30 114 118 154 174 178 264 268 288 324 328 412 414 442	608287847972
SPT(16)	1688392597229706479	0 20 42 62 80 104 114 122 132 140 150 174 192 212 234 254	764031585642
STPT(10)	1688392677647473937	0 2 12 14 42 44 72 74 84 86	844449353100