Prime p₀= 2726567101396750067 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: JayPi
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2726565071771853911	0 48 86 96 98 126 146 156 170 180 200 228 230 240 278 326	-2029624896156
SPT(16)	2726565149157937993	0 24 48 64 114 118 124 174 184 234 240 244 294 310 334 358	-1952238812074
SPT(16)	2726565344791285519	0 60 70 114 142 148 162 168 274 280 294 300 328 372 382 442	-1756605464548
SPT(16)	2726565379393508053	0 4 34 58 60 64 78 88 90 100 114 118 120 144 174 178	-1722003242014
SPT(16)	2726565443847325387	0 4 24 84 136 154 180 214 222 256 282 300 352 412 432 436	-1657549424680
STPT(12)	2726566532895300749	0 2 42 44 90 92 120 122 168 170 210 212	-568501449318
STPT(10)	2726567189147013629	0 2 18 20 30 32 42 44 60 62	87750263562
SPT(16)	2726568220385848193	0 6 50 66 68 98 116 138 146 168 186 216 218 234 278 284	1118989098126
SPT(16)	2726568271865276191	0 48 52 90 136 196 198 202 216 220 222 282 328 366 370 418	1170468526124
STPT(10)	2726568557517814979	0 2 12 14 30 32 48 50 60 62	1456121064912
STPT(10)	2726568603508852799	0 2 48 50 90 92 132 134 180 182	1502112102732