Prime p₀= 2232298067948232281 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 22 2 64 2 40 2 76 2 22 2 (?)
a_n: 0 2 6 8 30 32 96 98 138 140 216 218 240 242
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: 242
Found by: Rantanplan
db: batch=81, k=14, 4 22 64 40 76 22

TPT(14)	2232296748773097659	0 2 30 32 48 50 102 104 168 170 288 290 300 302	-1319175134622
STPT(10)	2232296768038746359	0 2 18 20 30 32 42 44 60 62	-1299909485922
TPT(14)	2232297022626589577	0 2 42 44 114 116 192 194 222 224 330 332 390 392	-1045321642704
STPT(12)	2232297139008820487	0 2 42 44 90 92 114 116 162 164 204 206	-928939411794
SPT(16)	2232297526056877789	0 48 52 58 60 90 100 102 208 210 220 250 252 258 262 310	-541891354492
SPT(16)	2232298008447146099	0 20 42 48 102 108 152 192 218 258 302 308 362 368 390 410	-59501086182
SPT(16)	2232298375487223937	0 46 82 90 132 196 244 280 306 342 390 454 496 504 540 586	307538991656
SPT(16)	2232298400685112621	0 60 72 102 148 156 186 192 226 232 262 270 316 346 358 418	332736880340
SPT(16)	2232298468472820989	0 8 14 44 108 120 138 150 152 164 182 194 258 288 294 302	400524588708
STPT(10)	2232298697829538379	0 2 18 20 30 32 42 44 60 62	629881306098
STPT(10)	2232298948584149321	0 2 30 32 60 62 90 92 120 122	880635917040