Prime p₀= 2528749539267765299 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 76 2 88 2 10 2 28 2 76 2 (?)
a_n: 0 2 12 14 90 92 180 182 192 194 222 224 300 302
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: 302
Found by: PheonixArcher
db: batch=82, k=14, 10 76 88 10 28 76

SPT(16)	2528748324048320147	0 14 30 42 50 54 56 72 74 90 92 96 104 116 132 146	-1215219445152
SPT(16)	2528748774156554659	0 12 24 42 64 90 120 132 142 154 184 210 232 250 262 274	-765111210640
SPT(16)	2528748789917511059	0 2 104 108 132 174 182 192 230 240 248 290 314 318 420 422	-749350254240
STPT(10)	2528748802556602181	0 2 78 80 108 110 138 140 216 218	-736711163118
STPT(10)	2528748863114342327	0 2 90 92 132 134 174 176 264 266	-676153422972
TPT(14)	2528748990113701307	0 2 30 32 42 44 84 86 210 212 234 236 240 242	-549154063992
TPT(14)	2528749578455273111	0 2 66 68 120 122 180 182 240 242 246 248 288 290	39187507812
STPT(10)	2528750495678474057	0 2 12 14 72 74 132 134 144 146	956410708758
STPT(10)	2528750560678721591	0 2 36 38 78 80 120 122 156 158	1021410956292
SPT(16)	2528750655643898299	0 22 28 42 52 60 84 94 138 148 172 180 190 204 210 232	1116376133000
SPT(16)	2528750796467187907	0 24 40 54 70 72 90 102 124 136 154 156 172 186 202 226	1257199422608