Prime p₀= 927606436768656917 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 136 2 10 2 46 2 28 2 10 2 (?)
a_n: 0 2 42 44 180 182 192 194 240 242 270 272 282 284
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: crashtech
db: batch=76, k=14, 40 136 10 46 28 10

SPT(16)	927605159962960489	0 10 28 48 70 72 132 148 162 178 238 240 262 282 300 310	-1276805696428
STPT(10)	927605778507291941	0 2 30 32 78 80 126 128 156 158	-658261364976
SPT(16)	927606055031411269	0 28 34 48 78 82 94 112 120 138 150 154 184 198 204 232	-381737245648
STPT(10)	927606230836700717	0 2 84 86 162 164 240 242 324 326	-205931956200
TPT(14)	927606244149530681	0 2 30 32 36 38 150 152 240 242 306 308 336 338	-192619126236
STPT(10)	927606271771159991	0 2 48 50 108 110 168 170 216 218	-164997496926
SPT(18)	927606450874354729	0 100 108 112 148 202 238 240 258 262 280 282 318 372 408 412 420 520	14105697812
SPT(16)	927606808438433831	0 38 56 78 80 92 96 116 162 182 186 198 200 222 240 278	371669776914
STPT(10)	927606996589006817	0 2 30 32 72 74 114 116 144 146	559820349900
STPT(10)	927607210958571347	0 2 12 14 42 44 72 74 84 86	774189914430
STPT(10)	927607265706911729	0 2 18 20 60 62 102 104 120 122	828938254812