Prime p₀= 2038747904457787739 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 46 2 28 2 10 2 16 2 40 2 (?)
a_n: 0 2 60 62 108 110 138 140 150 152 168 170 210 212
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, 58 46 28 10 16 40

SPT(16)	2038746913794484351	0 22 28 30 40 82 96 118 120 142 156 198 208 210 216 238	-990663303388
SPT(16)	2038747137817111793	0 36 78 86 108 128 168 180 194 206 246 266 288 296 338 374	-766640675946
STPT(12)	2038747289686524539	0 2 12 14 42 44 48 50 78 80 90 92	-614771263200
SPT(13)	2038747307022236011	0 18 90 102 132 168 210 252 288 318 330 402 420	-597435551728
STPT(10)	2038747535553883631	0 2 36 38 78 80 120 122 156 158	-368903904108
TPT(14)	2038747634689508801	0 2 48 50 120 122 126 128 156 158 186 188 246 248	-269768278938
SPT(16)	2038748225551895401	0 22 40 42 48 96 102 118 180 196 202 250 256 258 276 298	321094107662
SPT(16)	2038748234983199981	0 38 170 206 218 246 248 366 440 558 560 588 600 636 768 806	330525412242
SPT(16)	2038748366052689539	0 34 42 70 100 112 114 162 190 238 240 252 282 310 318 352	461594901800
SPT(16)	2038748905006052461	0 46 66 126 138 162 190 222 286 318 346 370 382 442 462 508	1000548264722
TPT(14)	2038749836518895627	0 2 84 86 150 152 252 254 360 362 402 404 462 464	1932061107888