Prime p₀= 2060178343128361031 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 112 2 64 2 58 2 172 2 4 2 (?)
a_n: 0 2 6 8 120 122 186 188 246 248 420 422 426 428
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: 428
Found by: Landjunge
db: batch=80, k=14, 4 112 64 58 172 4

SPT(16)	2060175245684466247	0 12 16 60 100 112 126 162 214 250 264 276 316 360 364 376	-3097443894784
SPT(16)	2060175252071659043	0 18 38 48 74 98 126 158 216 248 276 300 326 336 356 374	-3091056701988
SPT(16)	2060175746712039973	0 130 174 186 190 196 198 238 246 286 288 294 298 310 354 484	-2596416321058
SPT(16)	2060176310906707813	0 28 66 78 106 108 190 210 256 276 358 360 388 400 438 466	-2032221653218
STPT(10)	2060176458856260299	0 2 42 44 60 62 78 80 120 122	-1884272100732
STPT(10)	2060177986160954447	0 2 60 62 72 74 84 86 144 146	-356967406584
SPT(16)	2060178363965764879	0 22 30 78 84 88 100 102 130 132 144 148 154 202 210 232	20837403848
SPT(16)	2060178399744657259	0 64 78 88 100 190 198 202 210 214 222 312 324 334 348 412	56616296228
SPT(16)	2060178745871106127	0 10 40 42 46 66 72 82 114 124 130 150 154 156 186 196	402742745096
STPT(10)	2060178787376760497	0 2 42 44 72 74 102 104 144 146	444248399466
SPT(16)	2060178976078405333	0 4 6 16 30 34 64 90 184 210 240 244 258 268 270 274	632950044302