Prime p₀= 1524363540002646617 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 130 2 16 2 22 2 58 2 16 2 (?)
a_n: 0 2 30 32 162 164 180 182 204 206 264 266 282 284
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: 284
Found by: MarkRBright
db: batch=78, k=14, 28 130 16 22 58 16

SPT(16)	1524362741544595819	0 42 94 124 150 198 228 258 304 334 364 412 438 468 520 562	-798458050798
STPT(10)	1524363051553215491	0 2 36 38 78 80 120 122 156 158	-488449431126
SPT(16)	1524363187320384431	0 20 42 60 98 108 122 138 152 168 182 192 230 248 270 290	-352682262186
SPT(16)	1524363200188244177	0 12 14 56 66 80 86 104 132 150 156 170 180 222 224 236	-339814402440
SPT(16)	1524363236359618409	0 54 62 68 110 132 152 170 192 210 230 252 294 300 308 362	-303643028208
STPT(12)	1524363408040415609	0 2 42 44 60 62 102 104 120 122 162 164	-131962231008
TPT(14)	1524363555384599771	0 2 6 8 48 50 78 80 90 92 186 188 210 212	15381953154
STPT(10)	1524363676196348987	0 2 24 26 42 44 60 62 84 86	136193702370
TPT(14)	1524363759562449821	0 2 30 32 156 158 168 170 288 290 306 308 378 380	219559803204
STPT(10)	1524363994006823927	0 2 12 14 42 44 72 74 84 86	454004177310
SPT(16)	1524364150876264837	0 24 52 76 90 130 132 142 144 154 156 196 210 234 262 286	610873618220