Prime p₀= 1424147340215476529 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 70 2 16 2 46 2 28 2 28 2 (?)
a_n: 0 2 30 32 102 104 120 122 168 170 198 200 228 230
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: 230
Found by: vinn@[CNT]
db: batch=78, k=14, 28 70 16 46 28 28

SPT(16)	1424146306409171563	0 30 60 96 124 154 180 190 270 280 306 336 364 400 430 460	-1033806304966
SPT(20)	1424146574278313461	0 46 70 72 76 88 118 130 148 162 226 240 258 270 300 312 316 318 342 388	-765937163068
STPT(10)	1424146791427386737	0 2 60 62 72 74 84 86 144 146	-548788089792
STPT(10)	1424146961286664787	0 2 42 44 72 74 102 104 144 146	-378928811742
STPT(10)	1424147141932696451	0 2 6 8 48 50 90 92 96 98	-198282780078
SPT(20)	1424147226927664199	0 44 78 98 104 134 158 168 192 254 288 350 374 384 408 438 444 464 498 542	-113287812330
STPT(10)	1424147624187996821	0 2 36 38 78 80 120 122 156 158	283972520292
SPT(16)	1424147752151454497	0 14 66 116 126 140 206 234 266 294 360 374 384 434 486 500	411935977968
SPT(16)	1424147958738653051	0 56 60 72 80 96 170 192 200 222 296 312 320 332 336 392	618523176522
STPT(10)	1424148033251887751	0 2 96 98 108 110 120 122 216 218	693036411222
SPT(16)	1424148057408865339	0 12 18 22 40 42 70 82 90 102 130 132 150 154 160 172	717193388810