Prime p₀= 2027423886657585509 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 122
Found by: matsu_pl
db: batch=80, k=10, 2 40 2 16 2

SPT(16)	2027422558683815597	0 42 50 72 80 90 146 182 204 240 296 306 314 336 344 386	-1327973769912
STPT(10)	2027422740266023271	0 2 66 68 108 110 150 152 216 218	-1146391562238
SPT(16)	2027423118442930441	0 10 18 28 88 120 126 148 150 172 178 210 270 280 288 298	-768214655068
TPT(14)	2027423413506295067	0 2 42 44 84 86 90 92 174 176 264 266 282 284	-473151290442
STPT(10)	2027423866113771407	0 2 60 62 72 74 84 86 144 146	-20543814102
STPT(10)	2027423872337997491	0 2 78 80 138 140 198 200 276 278	-14319588018
SPT(16)	2027424122189575757	0 20 30 72 114 116 126 162 194 230 240 242 284 326 336 356	235531990248
SPT(16)	2027424497798435507	0 2 14 44 56 66 80 90 116 126 140 150 162 192 204 206	611140849998
SPT(16)	2027424552850729313	0 68 78 128 144 164 176 186 218 228 240 260 276 326 336 404	666193143804
STPT(10)	2027424778302572651	0 2 30 32 60 62 90 92 120 122	891644987142
STPT(10)	2027425107614326787	0 2 12 14 132 134 252 254 264 266	1220956741278