Prime p₀= 2276882472129524837 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 10 2 136 2 58 2 70 2 28 2 (?)
a_n: 0 2 30 32 42 44 180 182 240 242 312 314 342 344
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: 344
Found by: JayPi
db: batch=81, k=14, 28 10 136 58 70 28

SPT(16)	2276881071554356723	0 16 46 78 84 96 124 150 184 210 238 250 256 288 318 334	-1400575168114
SPT(16)	2276881204119308663	0 8 30 56 84 104 114 206 258 350 360 380 408 434 456 464	-1268010216174
STPT(12)	2276881412501418491	0 2 18 20 60 62 96 98 138 140 156 158	-1059628106346
TPT(14)	2276881829979167207	0 2 54 56 102 104 192 194 222 224 252 254 264 266	-642150357630
TPT(14)	2276882091901294637	0 2 84 86 102 104 180 182 312 314 324 326 354 356	-380228230200
SPT(16)	2276882252942903807	0 26 146 152 164 174 186 200 216 230 242 252 264 270 390 416	-219186621030
SPT(16)	2276882505670477373	0 6 30 74 116 198 204 216 308 320 326 408 450 494 518 524	33540952536
TPT(14)	2276882542660171931	0 2 6 8 36 38 90 92 240 242 270 272 498 500	70530647094
SPT(16)	2276882802375054439	0 10 34 40 70 90 112 124 210 222 244 264 294 300 324 334	330245529602
SPT(16)	2276883171547178353	0 46 84 90 118 126 130 136 168 174 178 186 214 220 258 304	699417653516
SPT(16)	2276883451014578999	0 8 14 42 48 50 54 110 162 218 222 224 230 258 264 272	978885054162