Prime p₀= 1588315343115562889 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: xii5ku
db: batch=78, k=10, 2 40 2 16 2

SPT(16)	1588313877037960231	0 52 60 66 108 112 126 136 162 172 186 190 232 238 246 298	-1466077602658
TPT(14)	1588314510591382787	0 2 12 14 42 44 174 176 180 182 210 212 264 266	-832524180102
TPT(14)	1588314511304319497	0 2 72 74 84 86 150 152 240 242 252 254 270 272	-831811243392
STPT(10)	1588314666669979511	0 2 6 8 48 50 90 92 96 98	-676445583378
SPT(16)	1588314982718879221	0 46 58 136 148 160 196 268 288 360 396 408 420 498 510 556	-360396683668
TPT(14)	1588315114818089297	0 2 12 14 120 122 180 182 204 206 234 236 252 254	-228297473592
STPT(10)	1588315843733148239	0 2 48 50 90 92 132 134 180 182	500617585350
SPT(16)	1588315991510314901	0 18 90 108 156 158 168 170 246 248 258 260 308 326 398 416	648394752012
SPT(16)	1588316411423298049	0 42 70 72 94 114 120 142 162 184 190 210 232 234 262 304	1068307735160
STPT(10)	1588317060720354719	0 2 18 20 30 32 42 44 60 62	1717604791830
SPT(16)	1588317172065113549	0 2 38 48 72 78 80 98 114 132 134 140 164 174 210 212	1828949550660