Prime p₀= 2427802795237556117 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 106 2 52 2 16 2 40 2 58 2 (?)
a_n: 0 2 12 14 120 122 174 176 192 194 234 236 294 296
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: 296
Found by: Penguin
db: batch=82, k=14, 10 106 52 16 40 58

SPT(16)	2427801244109916721	0 18 22 70 78 82 90 102 148 160 168 172 180 228 232 250	-1551127639396
STPT(10)	2427801391783644587	0 2 60 62 72 74 84 86 144 146	-1403453911530
SPT(16)	2427801635660973709	0 12 34 42 114 120 124 148 174 198 202 208 280 288 310 322	-1159576582408
SPT(16)	2427801661536288131	0 6 50 56 66 128 132 162 176 206 210 272 282 288 332 338	-1133701267986
STPT(10)	2427802144759540181	0 2 6 8 48 50 90 92 96 98	-650478015936
TPT(14)	2427802248888424949	0 2 30 32 48 50 102 104 162 164 228 230 312 314	-546349131168
SPT(16)	2427803022763878169	0 40 54 60 144 160 202 270 274 342 384 400 484 490 504 544	227526322052
STPT(10)	2427803087731454099	0 2 42 44 60 62 78 80 120 122	292493897982
STPT(10)	2427803262140680157	0 2 30 32 42 44 54 56 84 86	466903124040
STPT(10)	2427803373010609211	0 2 36 38 78 80 120 122 156 158	577773053094
SPT(16)	2427803647130629847	0 6 32 36 44 50 74 84 92 102 126 132 140 144 170 176	851893073730