Prime p₀= 1006113440487187181 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 88 2 88 2 28 2 (?)
a_n: 0 2 30 32 120 122 210 212 240 242
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: 242
Found by: Theadalus
db: batch=76, k=10, 2 28 2 88 2

SPT(16)	1006112814083621669	0 38 50 54 60 78 98 120 122 144 164 182 188 192 204 242	-626403565512
STPT(10)	1006112960639632589	0 2 42 44 120 122 198 200 240 242	-479847554592
SPT(18)	1006113005859953239	0 22 28 34 48 54 58 78 112 120 154 174 178 184 198 204 210 232	-434627233942
SPT(16)	1006113160787981483	0 6 24 44 48 66 90 194 210 314 338 356 360 380 398 404	-279699205698
SPT(16)	1006113254135042941	0 10 16 46 82 96 108 112 156 160 172 186 222 252 258 268	-186352144240
STPT(10)	1006113348911905007	0 2 42 44 72 74 102 104 144 146	-91575282174
STPT(10)	1006113741861469919	0 2 18 20 30 32 42 44 60 62	301374282738
SPT(16)	1006113961482066713	0 8 14 20 30 48 50 66 188 204 206 224 234 240 246 254	520994879532
STPT(10)	1006114144409716007	0 2 30 32 42 44 54 56 84 86	703922528826
SPT(16)	1006114217377238779	0 12 18 42 60 78 88 120 130 162 172 190 208 232 238 250	776890051598
TPT(14)	1006114351845923807	0 2 42 44 54 56 102 104 222 224 300 302 390 392	911358736626