Prime p₀= 1458763216638836567 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=78, k=10, 2 28 2 10 2

SPT(16)	1458762157163214619	0 4 34 58 84 88 102 108 154 160 174 178 204 228 258 262	-1059475621948
STPT(10)	1458762463119972557	0 2 30 32 42 44 54 56 84 86	-753518864010
STPT(12)	1458762467548519457	0 2 30 32 60 62 102 104 132 134 162 164	-749090317110
STPT(10)	1458762514204590611	0 2 30 32 78 80 126 128 156 158	-702434245956
SPT(16)	1458762719094226423	0 48 76 96 100 114 126 150 184 208 220 234 238 258 286 334	-497544610144
SPT(16)	1458762776780242553	0 20 26 36 60 68 74 114 200 240 246 254 278 288 294 314	-439858594014
STPT(12)	1458763245859980857	0 2 12 14 24 26 30 32 42 44 54 56	29221144290
SPT(16)	1458763598756468713	0 18 46 76 88 106 118 120 154 156 168 186 198 228 256 274	382117632146
SPT(16)	1458763610642267557	0 34 40 42 84 112 132 150 154 172 192 220 262 264 270 304	394003430990
STPT(10)	1458763685059493777	0 2 30 32 42 44 54 56 84 86	468420657210
SPT(16)	1458764276344970719	0 22 34 60 64 120 132 174 190 232 244 300 304 330 342 364	1059706134152