Prime p₀= 2589659846523468749 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: JayPi
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2589658038420706247	0 36 42 56 66 102 140 170 192 222 260 296 306 320 326 362	-1808102762502
STPT(10)	2589658196049976547	0 2 60 62 72 74 84 86 144 146	-1650473492202
SPT(16)	2589658322519393743	0 28 34 36 46 66 144 150 154 160 238 258 268 270 276 304	-1524004075006
STPT(10)	2589658575409397837	0 2 42 44 72 74 102 104 144 146	-1271114070912
SPT(16)	2589659176359521627	0 14 50 84 92 102 110 114 140 144 152 162 170 204 240 254	-670163947122
SPT(16)	2589659222704066543	0 6 46 60 66 76 130 148 156 174 228 238 244 258 298 304	-623819402206
STPT(10)	2589659862482233529	0 2 18 20 30 32 42 44 60 62	15958764780
TPT(14)	2589660030816111467	0 2 30 32 84 86 90 92 132 134 144 146 222 224	184292642718
SPT(16)	2589660649638119287	0 6 52 60 102 112 136 156 196 216 240 250 292 300 346 352	803114650538
SPT(13)	2589661412464792723	0 18 30 78 126 150 198 246 270 318 366 378 396	1565941323974
TPT(14)	2589661456504036349	0 2 42 44 162 164 288 290 318 320 402 404 528 530	1609980567600