Prime p₀= 2041672579516899137 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: Dingo
db: batch=80, k=10, 2 28 2 10 2

SPT(16)	2041671034819075391	0 12 36 50 90 102 110 120 158 168 176 188 228 242 266 278	-1544697823746
STPT(12)	2041671167664655337	0 2 30 32 72 74 150 152 192 194 222 224	-1411852243800
STPT(10)	2041671331965409997	0 2 30 32 72 74 114 116 144 146	-1247551489140
TPT(14)	2041671335176472957	0 2 12 14 60 62 72 74 102 104 114 116 150 152	-1244340426180
SPT(16)	2041671778031862373	0 28 60 66 90 106 108 126 130 148 150 166 190 196 228 256	-801485036764
SPT(16)	2041672099803697597	0 4 36 46 54 64 120 124 132 136 192 202 210 220 252 256	-479713201540
STPT(10)	2041672898587988747	0 2 42 44 72 74 102 104 144 146	319071089610
STPT(10)	2041673437765221311	0 2 6 8 18 20 30 32 36 38	858248322174
SPT(16)	2041673515099537489	0 18 48 58 70 78 102 112 120 130 154 162 174 184 214 232	935582638352
SPT(18)	2041673568832937153	0 6 14 60 86 90 98 114 140 204 230 246 254 258 284 330 338 344	989316038016
STPT(10)	2041673736851648321	0 2 36 38 78 80 120 122 156 158	1157334749184