Prime p₀= 813752426331320849 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 52 2 28 2 124 2 28 2 10 2 (?)
a_n: 0 2 18 20 72 74 102 104 228 230 258 260 270 272
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: 272
Found by: Theadalus
db: batch=73, k=14, 16 52 28 124 28 10

SPT(16)	813751066206839161	0 58 60 90 112 142 148 150 238 240 246 276 298 328 330 388	-1360124481688
SPT(16)	813751300246657457	0 54 60 72 86 122 144 146 150 152 174 210 224 236 242 296	-1126084663392
TPT(14)	813751371418501259	0 2 42 44 72 74 78 80 120 122 162 164 228 230	-1054912819590
STPT(10)	813751509717213437	0 2 30 32 42 44 54 56 84 86	-916614107412
TPT(14)	813751645523236877	0 2 72 74 84 86 144 146 162 164 252 254 270 272	-780808083972
SPT(16)	813752376243930769	0 22 24 28 64 78 94 100 252 258 274 288 324 328 330 352	-50087390080
SPT(16)	813752429607228169	0 18 22 34 48 84 90 144 178 232 238 274 288 300 304 322	3275907320
STPT(10)	813752458099761107	0 2 30 32 72 74 114 116 144 146	31768440258
SPT(16)	813752936366955737	0 6 32 54 74 110 132 144 182 194 216 252 272 294 320 326	510035634888
TPT(14)	813753279003495407	0 2 12 14 90 92 150 152 222 224 300 302 330 332	852672174558
STPT(10)	813753312918163697	0 2 72 74 102 104 132 134 204 206	886586842848