Prime p₀= 1564593884183203799 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 118 2 28 2 70 2 76 2 40 2 (?)
a_n: 0 2 78 80 198 200 228 230 300 302 378 380 420 422
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: 422
Found by: xii5ku
db: batch=78, k=14, 76 118 28 70 76 40

STPT(10)	1564592834739953969	0 2 18 20 30 32 42 44 60 62	-1049443249830
SPT(16)	1564592841037982251	0 18 30 40 46 58 70 96 100 126 138 150 156 166 178 196	-1043145221548
SPT(16)	1564592966417445347	0 12 26 42 102 116 132 140 186 194 210 224 284 300 314 326	-917765758452
STPT(10)	1564592973742950257	0 2 30 32 42 44 54 56 84 86	-910440253542
SPT(16)	1564593486087733961	0 6 18 38 56 60 62 66 272 276 278 282 300 320 332 338	-398095469838
SPT(16)	1564593523396713773	0 14 36 38 80 84 140 150 194 204 260 264 306 308 330 344	-360786490026
SPT(16)	1564594009567109069	0 8 20 42 50 54 68 104 198 234 248 252 260 282 294 302	125383905270
SPT(20)	1564594028211441083	0 26 36 38 80 84 108 126 140 164 180 204 218 236 260 264 306 308 318 344	144028237284
TPT(14)	1564594281048728219	0 2 78 80 132 134 162 164 168 170 222 224 288 290	396865524420
SPT(16)	1564594960718132549	0 20 38 92 110 174 218 248 264 294 338 402 420 474 492 512	1076534928750
STPT(10)	1564595138580258359	0 2 42 44 120 122 198 200 240 242	1254397054560