Prime p₀= 2049906367554333179 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 52 2 16 2 28 2 10 2 16 2 (?)
a_n: 0 2 78 80 132 134 150 152 180 182 192 194 210 212
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: 212
Found by: Landjunge
db: batch=80, k=14, 76 52 16 28 10 16

STPT(10)	2049904516729103777	0 2 12 14 42 44 72 74 84 86	-1850825229402
STPT(10)	2049904960681009139	0 2 78 80 120 122 162 164 240 242	-1406873324040
STPT(10)	2049905243380156871	0 2 36 38 78 80 120 122 156 158	-1124174176308
SPT(16)	2049905489745438389	0 42 44 180 194 198 224 270 362 408 434 438 452 588 590 632	-877808894790
STPT(10)	2049905576506980947	0 2 42 44 72 74 102 104 144 146	-791047352232
SPT(16)	2049906076831027711	0 88 106 108 126 130 142 160 228 246 258 262 280 282 300 388	-290723305468
SPT(16)	2049906430045724567	0 20 30 42 66 80 84 144 212 272 276 290 314 326 336 356	62491391388
STPT(10)	2049906846655392467	0 2 30 32 42 44 54 56 84 86	479101059288
SPT(16)	2049907381074929641	0 42 46 102 108 136 160 222 376 438 462 490 496 552 556 598	1013520596462
SPT(16)	2049907497326844341	0 2 6 32 36 92 96 116 156 176 180 236 240 266 270 272	1129772511162
SPT(18)	2049907886527408207	0 46 72 82 114 156 186 214 226 240 252 280 310 352 384 394 420 466	1518973075028