Prime p₀= 2112233315364967211 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 10 2 10 2 64 2 82 2 154 2 (?)
a_n: 0 2 6 8 18 20 30 32 96 98 180 182 336 338
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: 338
Found by: Landjunge
db: batch=80, k=14, 4 10 10 64 82 154

SPT(16)	2112230887492587263	0 8 36 48 50 78 84 150 194 260 266 294 296 308 336 344	-2427872379948
SPT(16)	2112230976015479549	0 20 32 74 90 132 140 158 174 192 200 242 258 300 312 332	-2339349487662
STPT(10)	2112231756190969199	0 2 42 44 90 92 138 140 180 182	-1559173998012
SPT(16)	2112231882216216511	0 10 66 100 106 148 178 186 202 210 240 282 288 322 378 388	-1433148750700
STPT(10)	2112231889168993349	0 2 18 20 30 32 42 44 60 62	-1426195973862
STPT(10)	2112232146421897439	0 2 42 44 60 62 78 80 120 122	-1168943069772
STPT(10)	2112233565856518497	0 2 30 32 42 44 54 56 84 86	250491551286
TPT(14)	2112233952842225687	0 2 12 14 54 56 114 116 144 146 180 182 222 224	637477258476
SPT(16)	2112233960017851881	0 12 66 72 80 92 110 122 156 168 186 198 206 212 266 278	644652884670
SPT(16)	2112234559820682487	0 10 22 36 40 84 124 150 196 222 262 306 310 324 336 346	1244455715276
SPT(16)	2112235234069903291	0 10 18 72 96 136 172 238 240 306 342 382 406 460 468 478	1918704936080