Prime p₀= 2041624400812270607 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 112 2 16 2 46 2 100 2 16 2 22 2 (?)
a_n: 0 2 114 116 132 134 180 182 282 284 300 302 324 326
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: 326
Found by: Landjunge
db: batch=80, k=14, 112 16 46 100 16 22

SPT(16)	2041623451036299749	0 38 134 138 168 180 194 234 248 288 302 314 344 348 444 482	-949775970858
STPT(10)	2041623481520858531	0 2 6 8 18 20 30 32 36 38	-919291412076
STPT(10)	2041623578942841317	0 2 30 32 72 74 114 116 144 146	-821869429290
SPT(16)	2041623820289350763	0 56 134 168 174 176 218 254 300 336 378 380 386 420 498 554	-580522919844
SPT(16)	2041623841146727337	0 12 92 114 122 134 156 174 212 230 252 264 272 294 374 386	-559665543270
SPT(16)	2041624377445529941	0 28 42 58 60 72 78 102 106 130 136 148 150 166 180 208	-23366740666
STPT(10)	2041624780231165697	0 2 12 14 42 44 72 74 84 86	379418895090
TPT(14)	2041624814543714987	0 2 144 146 210 212 240 242 252 254 312 314 354 356	413731444380
SPT(16)	2041625031823727599	0 22 30 60 72 88 100 144 298 342 354 370 382 412 420 442	631011456992
STPT(10)	2041625104436491757	0 2 30 32 42 44 54 56 84 86	703624221150
SPT(16)	2041625256173257151	0 20 60 62 90 132 176 182 210 216 260 302 330 332 372 392	855360986544