Prime p₀= 816514396469806649 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 22 2 58 2 64 2 10 2 10 2 (?)
a_n: 0 2 18 20 42 44 102 104 168 170 180 182 192 194
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: 194
Found by: [SG]FX
db: batch=73, k=14, 16 22 58 64 10 10

SPT(16)	816512977091921803	0 4 40 64 88 94 168 184 234 250 324 330 354 378 414 418	-1419377884846
SPT(16)	816513144018574579	0 22 114 120 150 184 234 250 264 280 330 364 394 400 492 514	-1252451232070
SPT(16)	816513348056899043	0 38 48 50 80 90 104 126 188 210 224 234 264 266 276 314	-1048412907606
SPT(16)	816513481009778791	0 12 22 78 100 108 120 196 222 298 310 318 340 396 406 418	-915460027858
SPT(18)	816514158235209347	0 6 26 36 60 90 92 102 116 156 170 180 182 212 236 246 266 272	-238234597302
SPT(16)	816514307045686091	0 36 42 50 72 86 98 110 138 150 162 176 198 206 212 248	-89424120558
SPT(18)	816514415343629693	0 14 20 36 48 56 96 140 186 218 264 308 348 356 368 384 390 404	18873823044
SPT(16)	816514420452090821	0 2 60 86 126 138 152 168 200 216 230 242 282 308 366 368	23982284172
TPT(14)	816514515809526089	0 2 12 14 132 134 162 164 342 344 348 350 420 422	119339719440
TPT(14)	816514737888374009	0 2 42 44 60 62 78 80 300 302 468 470 498 500	341418567360
STPT(10)	816514835008824839	0 2 18 20 30 32 42 44 60 62	438539018190