Prime p₀= 1230585772798022699 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: Cruncher Pete
db: batch=77, k=10, 2 40 2 16 2

SPT(16)	1230583623844795789	0 30 52 72 100 112 118 150 220 252 258 270 298 318 340 370	-2148953226910
SPT(16)	1230583786922891437	0 10 64 66 84 130 180 196 264 280 330 376 394 396 450 460	-1985875131262
STPT(10)	1230585028103817479	0 2 30 32 60 62 90 92 120 122	-744694205220
SPT(16)	1230585319874740073	0 54 128 156 186 194 210 216 248 254 270 278 308 336 410 464	-452923282626
STPT(10)	1230585434221339949	0 2 18 20 30 32 42 44 60 62	-338576682750
SPT(16)	1230585542692946113	0 6 16 24 34 60 66 70 90 94 100 126 136 144 154 160	-230105076586
SPT(16)	1230585887899298939	0 24 30 72 108 128 140 162 170 192 204 224 260 302 308 332	115101276240
SPT(18)	1230585941678993269	0 10 34 118 130 132 142 144 168 184 208 210 220 222 234 318 342 352	168880970570
STPT(12)	1230585973061073509	0 2 60 62 102 104 108 110 150 152 210 212	200263050810
SPT(16)	1230586126834943993	0 6 44 56 90 104 126 144 230 248 270 284 318 330 368 374	354036921294
STPT(10)	1230586267003904357	0 2 30 32 42 44 54 56 84 86	494205881658