Prime p₀= 1584732009149315231 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: crashtech
db: batch=78, k=10, 2 4 2 10 2

STPT(10)	1584730226430131621	0 2 36 38 78 80 120 122 156 158	-1782719183610
STPT(10)	1584730790735387819	0 2 18 20 30 32 42 44 60 62	-1218413927412
SPT(16)	1584730889686916141	0 80 92 102 128 170 218 228 230 240 288 330 356 366 378 458	-1119462399090
SPT(16)	1584731182845823567	0 16 36 60 106 112 126 172 174 220 234 240 286 310 330 346	-826303491664
SPT(16)	1584731233791339467	0 14 42 66 74 96 126 182 204 260 290 312 320 344 372 386	-775357975764
SPT(16)	1584731952857539267	0 22 34 36 46 52 66 90 166 190 204 210 220 222 234 256	-56291775964
SPT(16)	1584732011002958773	0 4 18 30 48 88 160 168 190 198 270 310 328 340 354 358	1853643542
STPT(10)	1584732643680889247	0 2 30 32 42 44 54 56 84 86	634531574016
STPT(10)	1584732933322817849	0 2 18 20 30 32 42 44 60 62	924173502618
SPT(16)	1584732952247987147	0 12 20 42 90 104 152 180 386 414 462 476 524 546 554 566	943098671916
SPT(16)	1584733092908176831	0 90 130 132 148 208 232 310 438 516 540 600 616 618 658 748	1083758861600