Prime p₀= 825753946760179691 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 10 2 76 2 28 2 58 2 28 2 (?)
a_n: 0 2 36 38 48 50 126 128 156 158 216 218 246 248
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: 248
Found by: [SETI.USA]Tank_Master
db: batch=73, k=14, 34 10 76 28 58 28

STPT(10)	825752671800351851	0 2 6 8 108 110 210 212 216 218	-1274959827840
STPT(10)	825753002392725131	0 2 6 8 48 50 90 92 96 98	-944367454560
SPT(16)	825753264894002077	0 64 66 90 106 112 124 136 150 162 174 180 196 220 222 286	-681866177614
SPT(16)	825753305738342941	0 12 40 72 120 130 172 198 280 306 348 358 406 438 466 478	-641021836750
SPT(16)	825753853853589217	0 22 30 34 82 90 112 142 144 174 196 204 252 256 264 286	-92906590474
SPT(16)	825753885652954663	0 18 28 40 58 60 108 124 144 160 208 210 228 240 250 268	-61107225028
STPT(10)	825754296088989467	0 2 54 56 72 74 90 92 144 146	349328809776
STPT(10)	825754342109018447	0 2 30 32 72 74 114 116 144 146	395348838756
STPT(10)	825754421568189077	0 2 30 32 42 44 54 56 84 86	474808009386
SPT(16)	825754446799776709	0 18 24 34 54 88 108 112 150 154 174 208 228 238 244 262	500039597018
SPT(16)	825754490738944939	0 58 60 100 130 144 162 168 184 190 208 222 252 292 294 352	543978765248