Prime p₀= 3213020517350110391 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 106 2 28 2 28 2 106 2 (?)
a_n: 0 2 108 110 138 140 168 170 276 278
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: 278
Found by: Hightower
db: batch=83, k=10, 2 106 2 28 2

SPT(16)	3213018798288330613	0 4 10 18 36 54 96 136 138 178 220 238 256 264 270 274	-1719061779778
STPT(10)	3213018831797183579	0 2 18 20 30 32 42 44 60 62	-1685552926812
SPT(18)	3213018985259008799	0 32 38 42 60 128 164 168 180 212 224 228 264 332 350 354 360 392	-1532091101592
STPT(10)	3213019248876806177	0 2 12 14 42 44 72 74 84 86	-1268473304214
STPT(10)	3213020036515200809	0 2 18 20 30 32 42 44 60 62	-480834909582
SPT(16)	3213020506274595689	0 8 12 38 54 72 78 84 248 254 260 278 294 320 324 332	-11075514702
SPT(16)	3213020582578970651	0 8 38 66 80 126 132 140 168 176 182 228 242 270 300 308	65228860260
STPT(10)	3213020718524334857	0 2 12 14 42 44 72 74 84 86	201174224466
STPT(10)	3213020778596863049	0 2 12 14 30 32 48 50 60 62	261246752658
SPT(16)	3213020850177008011	0 10 22 58 70 82 102 120 130 148 168 180 192 228 240 250	332826897620
SPT(16)	3213021012678327397	0 10 30 52 54 66 72 82 84 94 100 112 114 136 156 166	495328217006