Prime p₀= 2029979426917502867 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 58 2 16 2 172 2 16 2 16 2 (?)
a_n: 0 2 42 44 102 104 120 122 294 296 312 314 330 332
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: 332
Found by: Landjunge
db: batch=80, k=14, 40 58 16 172 16 16

SPT(16)	2029977632696452711	0 6 10 82 138 150 166 178 240 252 268 280 336 408 412 418	-1794221050156
SPT(18)	2029978071375862331	0 8 26 36 38 42 50 62 78 110 126 138 146 150 152 162 180 188	-1355541640536
STPT(10)	2029978547694847661	0 2 6 8 18 20 30 32 36 38	-879222655206
TPT(14)	2029978627420902047	0 2 24 26 84 86 162 164 204 206 240 242 264 266	-799496600820
SPT(16)	2029978773970057013	0 20 78 98 188 218 234 264 344 374 390 420 510 530 588 608	-652947445854
SPT(16)	2029979406781413679	0 30 54 60 102 130 172 174 208 210 252 280 322 328 352 382	-20136089188
SPT(16)	2029980960169171127	0 6 20 26 60 72 74 122 174 222 224 236 270 276 290 296	1533251668260
STPT(10)	2029981123640913629	0 2 18 20 30 32 42 44 60 62	1696723410762
SPT(16)	2029981129995359729	0 2 12 18 38 84 144 192 200 248 308 354 374 380 390 392	1703077856862
SPT(16)	2029981704892966001	0 30 36 48 62 72 78 86 132 140 146 156 170 182 188 218	2277975463134
STPT(10)	2029981847559757937	0 2 24 26 42 44 60 62 84 86	2420642255070