Prime p₀= 2146986314351136857 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: Landjunge
db: batch=80, k=10, 2 28 2 10 2

SPT(16)	2146985281081697041	0 46 60 82 130 150 166 192 196 222 238 258 306 328 342 388	-1033269439816
STPT(10)	2146985344875372899	0 2 18 20 30 32 42 44 60 62	-969475763958
STPT(10)	2146985435118946151	0 2 36 38 78 80 120 122 156 158	-879232190706
STPT(10)	2146985889859669667	0 2 54 56 72 74 90 92 144 146	-424491467190
SPT(16)	2146985892887966749	0 22 24 40 58 82 108 120 142 154 180 204 222 238 240 262	-421463170108
SPT(16)	2146985993979103217	0 6 14 62 72 92 114 132 134 152 174 194 204 252 260 266	-320372033640
STPT(10)	2146986588148632341	0 2 66 68 138 140 210 212 276 278	273797495484
SPT(20)	2146987024176776297	0 6 32 36 42 62 102 176 206 216 260 270 300 374 414 434 440 444 470 476	709825639440
SPT(16)	2146987157664300493	0 6 58 64 94 106 124 136 138 150 168 180 210 216 268 274	843313163636
STPT(10)	2146987174477580717	0 2 42 44 72 74 102 104 144 146	860126443860
SPT(16)	2146987581524347171	0 18 36 100 106 120 126 136 162 172 178 192 198 262 280 298	1267173210314