Prime p₀= 2589616124505835697 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: [SG-FC] hl
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2589614138225405167	0 10 22 60 90 100 120 144 160 184 204 214 244 282 294 304	-1986280430530
STPT(10)	2589614647482895127	0 2 30 32 42 44 54 56 84 86	-1477022940570
STPT(12)	2589614799209426711	0 2 6 8 30 32 216 218 240 242 246 248	-1325296408986
SPT(16)	2589615224256523013	0 6 14 56 68 80 90 110 204 224 234 246 258 300 308 314	-900249312684
SPT(16)	2589615286003859999	0 2 30 32 54 84 98 110 132 144 158 188 210 212 240 242	-838501975698
TPT(14)	2589616050214909739	0 2 18 20 48 50 72 74 78 80 102 104 168 170	-74290925958
SPT(16)	2589616324337299331	0 72 90 138 156 176 180 198 200 218 222 242 260 308 326 398	199831463634
SPT(16)	2589616601082976343	0 36 60 86 116 128 170 176 288 294 336 348 378 404 428 464	476577140646
SPT(16)	2589617086920096353	0 18 26 120 134 164 224 248 306 330 390 420 434 528 536 554	962414260656
STPT(10)	2589617266982045351	0 2 6 8 18 20 30 32 36 38	1142476209654
STPT(10)	2589617498008599587	0 2 12 14 42 44 72 74 84 86	1373502763890