Prime p₀= 2045123698080231017 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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-2W]Kurzer
db: batch=80, k=10, 2 10 2 28 2

SPT(16)	2045122694851658293	0 76 88 126 160 190 214 270 274 330 354 384 418 456 468 544	-1003228572724
TPT(14)	2045122899450875999	0 2 42 44 60 62 72 74 138 140 150 152 210 212	-798629355018
SPT(16)	2045123346560970517	0 10 30 46 52 66 100 102 154 156 190 204 210 226 246 256	-351519260500
SPT(16)	2045123479278687751	0 16 30 42 58 88 100 136 192 228 240 270 286 298 312 328	-218801543266
SPT(16)	2045123568126552349	0 34 64 72 90 108 120 130 132 142 154 172 190 198 228 262	-129953678668
STPT(10)	2045123579953303151	0 2 30 32 78 80 126 128 156 158	-118126927866
STPT(10)	2045124118371844397	0 2 30 32 42 44 54 56 84 86	420291613380
SPT(16)	2045124125400940879	0 18 22 40 72 88 94 130 162 198 204 220 252 270 274 292	427320709862
STPT(10)	2045124436410363851	0 2 6 8 48 50 90 92 96 98	738330132834
SPT(16)	2045124450855616357	0 22 76 82 84 90 106 120 196 210 226 232 234 240 294 316	752775385340
STPT(10)	2045124651014197367	0 2 24 26 42 44 60 62 84 86	952933966350