Prime p₀= 2438539581277749329 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 22 2 34 2 52 2 28 2 34 2 (?)
a_n: 0 2 18 20 42 44 78 80 132 134 162 164 198 200
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: 200
Found by: [SG-FC] hl
db: batch=82, k=14, 16 22 34 52 28 34

STPT(10)	2438538889409145947	0 2 12 14 72 74 132 134 144 146	-691868603382
SPT(16)	2438538983395827821	0 36 42 60 90 146 176 182 210 216 246 302 332 350 356 392	-597881921508
SPT(16)	2438539265821629521	0 38 56 80 90 150 210 258 278 326 386 446 456 480 498 536	-315456119808
SPT(16)	2438539411330930247	0 62 90 110 114 120 156 170 186 200 236 242 246 266 294 356	-169946819082
STPT(10)	2438539443644521421	0 2 120 122 138 140 156 158 276 278	-137633227908
SPT(16)	2438539551642904349	0 30 50 68 78 110 170 210 290 330 390 422 432 450 470 500	-29634844980
STPT(10)	2438539624866458291	0 2 6 8 48 50 90 92 96 98	43588708962
SPT(16)	2438539712854115047	0 22 24 42 46 64 66 112 144 190 192 210 214 232 234 256	131576365718
STPT(10)	2438540031425713487	0 2 30 32 42 44 54 56 84 86	450147964158
TPT(14)	2438540063588414699	0 2 90 92 102 104 138 140 168 170 180 182 312 314	482310665370
TPT(14)	2438540228429705429	0 2 30 32 72 74 282 284 390 392 402 404 408 410	647151956100