Prime p₀= 1588480289040196229 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Theadalus
db: batch=78, k=10, 2 16 2 10 2

SPT(16)	1588479736911535147	0 10 42 84 114 120 186 226 240 280 346 352 382 424 456 466	-552128661082
TPT(14)	1588479822376701827	0 2 24 26 72 74 84 86 102 104 144 146 282 284	-466663494402
TPT(14)	1588479864055366481	0 2 90 92 108 110 180 182 216 218 288 290 390 392	-424984829748
STPT(10)	1588480012660218047	0 2 30 32 42 44 54 56 84 86	-276379978182
SPT(16)	1588480112462373413	0 24 26 66 78 134 138 140 174 176 180 236 248 288 290 314	-176577822816
SPT(16)	1588480181654780347	0 22 52 90 96 112 142 156 160 174 204 220 226 264 294 316	-107385415882
SPT(16)	1588480302183730177	0 34 46 94 96 106 120 124 132 136 150 160 162 210 222 256	13143533948
STPT(10)	1588480446290339447	0 2 24 26 42 44 60 62 84 86	157250143218
SPT(16)	1588480484924854237	0 16 30 66 94 100 106 114 202 210 216 222 250 286 300 316	195884658008
SPT(16)	1588480587563165041	0 28 36 48 58 96 148 162 166 180 232 270 280 292 300 328	298522968812
STPT(10)	1588480935870736049	0 2 18 20 30 32 42 44 60 62	646830539820