Prime p₀= 1230585434221339949 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: Cruncher Pete
db: batch=77, k=10, 2 16 2 10 2

SPT(18)	1230583325381719381	0 72 88 102 132 150 156 160 178 210 228 232 238 256 286 300 316 388	-2108839620568
SPT(16)	1230583479569264113	0 10 34 60 66 90 94 100 210 216 220 244 250 276 300 310	-1954652075836
SPT(16)	1230583623844795789	0 30 52 72 100 112 118 150 220 252 258 270 298 318 340 370	-1810376544160
SPT(16)	1230583786922891437	0 10 64 66 84 130 180 196 264 280 330 376 394 396 450 460	-1647298448512
STPT(10)	1230585028103817479	0 2 30 32 60 62 90 92 120 122	-406117522470
SPT(16)	1230585319874740073	0 54 128 156 186 194 210 216 248 254 270 278 308 336 410 464	-114346599876
SPT(16)	1230585542692946113	0 6 16 24 34 60 66 70 90 94 100 126 136 144 154 160	108471606164
STPT(10)	1230585772798022699	0 2 42 44 60 62 78 80 120 122	338576682750
SPT(16)	1230585887899298939	0 24 30 72 108 128 140 162 170 192 204 224 260 302 308 332	453677958990
SPT(18)	1230585941678993269	0 10 34 118 130 132 142 144 168 184 208 210 220 222 234 318 342 352	507457653320
STPT(12)	1230585973061073509	0 2 60 62 102 104 108 110 150 152 210 212	538839733560