Prime p₀= 1218120541832347589 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: Theadalus
db: batch=77, k=10, 2 16 2 40 2

SPT(16)	1218119803403752651	0 6 42 48 52 78 100 132 136 168 190 216 220 226 262 268	-738428594938
STPT(10)	1218119833468129349	0 2 18 20 30 32 42 44 60 62	-708364218240
SPT(16)	1218120004605968291	0 32 62 132 146 168 182 192 326 336 350 372 386 456 486 518	-537226379298
SPT(16)	1218120119977398917	0 12 14 30 54 90 110 114 122 126 146 182 206 222 224 236	-421854948672
SPT(16)	1218120369507335227	0 10 16 22 90 136 150 160 282 292 306 352 420 426 432 442	-172325012362
TPT(14)	1218120435168804527	0 2 42 44 84 86 120 122 150 152 162 164 180 182	-106663543062
STPT(10)	1218120781418476457	0 2 30 32 42 44 54 56 84 86	239586128868
STPT(10)	1218120809789236229	0 2 30 32 60 62 90 92 120 122	267956888640
SPT(16)	1218120935148061993	0 24 28 66 90 94 126 136 198 208 240 244 268 306 310 334	393315714404
STPT(10)	1218120991039934207	0 2 30 32 72 74 114 116 144 146	449207586618
SPT(22)	1218121088073824069	0 2 14 38 72 80 108 168 174 204 210 212 218 248 254 314 342 350 384 408 420 422	546241476480