Prime p₀= 2027423413506295067 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 40 2 4 2 82 2 88 2 16 2 (?)
a_n: 0 2 42 44 84 86 90 92 174 176 264 266 282 284
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: 284
Found by: matsu_pl
db: batch=80, k=14, 40 40 4 82 88 16

SPT(16)	2027422277898202321	0 16 78 96 112 126 156 192 196 232 262 276 292 310 372 388	-1135608092746
TPT(14)	2027422509143644829	0 2 138 140 150 152 192 194 270 272 282 284 402 404	-904362650238
STPT(10)	2027422526994723119	0 2 18 20 30 32 42 44 60 62	-886511571948
SPT(16)	2027422558683815597	0 42 50 72 80 90 146 182 204 240 296 306 314 336 344 386	-854822479470
STPT(10)	2027422740266023271	0 2 66 68 108 110 150 152 216 218	-673240271796
SPT(16)	2027423118442930441	0 10 18 28 88 120 126 148 150 172 178 210 270 280 288 298	-295063364626
STPT(10)	2027423866113771407	0 2 60 62 72 74 84 86 144 146	452607476340
STPT(10)	2027423872337997491	0 2 78 80 138 140 198 200 276 278	458831702424
STPT(10)	2027423886657585509	0 2 42 44 60 62 78 80 120 122	473151290442
SPT(16)	2027424122189575757	0 20 30 72 114 116 126 162 194 230 240 242 284 326 336 356	708683280690
SPT(16)	2027424497798435507	0 2 14 44 56 66 80 90 116 126 140 150 162 192 204 206	1084292140440