Prime p₀= 1006114144409716007 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Theadalus
db: batch=76, k=10, 2 28 2 10 2

SPT(16)	1006113160787981483	0 6 24 44 48 66 90 194 210 314 338 356 360 380 398 404	-983621734524
SPT(16)	1006113254135042941	0 10 16 46 82 96 108 112 156 160 172 186 222 252 258 268	-890274673066
STPT(10)	1006113348911905007	0 2 42 44 72 74 102 104 144 146	-795497811000
STPT(10)	1006113440487187181	0 2 30 32 120 122 210 212 240 242	-703922528826
STPT(10)	1006113741861469919	0 2 18 20 30 32 42 44 60 62	-402548246088
SPT(16)	1006113961482066713	0 8 14 20 30 48 50 66 188 204 206 224 234 240 246 254	-182927649294
SPT(16)	1006114217377238779	0 12 18 42 60 78 88 120 130 162 172 190 208 232 238 250	72967522772
TPT(14)	1006114351845923807	0 2 42 44 54 56 102 104 222 224 300 302 390 392	207436207800
STPT(10)	1006114772796025577	0 2 24 26 42 44 60 62 84 86	628386309570
SPT(16)	1006115439204670763	0 8 20 36 48 78 80 108 146 174 176 206 218 234 246 254	1294794954756
SPT(16)	1006115479355291033	0 78 84 98 114 120 164 176 198 210 254 260 276 290 296 374	1334945575026