Prime p₀= 2041673437765221311 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Dingo
db: batch=80, k=10, 2 4 2 10 2

STPT(10)	2041671331965409997	0 2 30 32 72 74 114 116 144 146	-2105799811314
TPT(14)	2041671335176472957	0 2 12 14 60 62 72 74 102 104 114 116 150 152	-2102588748354
SPT(16)	2041671778031862373	0 28 60 66 90 106 108 126 130 148 150 166 190 196 228 256	-1659733358938
SPT(16)	2041672099803697597	0 4 36 46 54 64 120 124 132 136 192 202 210 220 252 256	-1337961523714
STPT(10)	2041672579516899137	0 2 30 32 42 44 54 56 84 86	-858248322174
STPT(10)	2041672898587988747	0 2 42 44 72 74 102 104 144 146	-539177232564
SPT(16)	2041673515099537489	0 18 48 58 70 78 102 112 120 130 154 162 174 184 214 232	77334316178
SPT(18)	2041673568832937153	0 6 14 60 86 90 98 114 140 204 230 246 254 258 284 330 338 344	131067715842
STPT(10)	2041673736851648321	0 2 36 38 78 80 120 122 156 158	299086427010
SPT(13)	2041673757509003461	0 12 72 132 162 180 210 240 258 288 348 408 420	319743782150
SPT(16)	2041673941522156369	0 24 54 64 84 114 124 142 150 168 178 208 228 238 268 292	503756935058