Prime p₀= 1146353415956307407 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: Putin Has a Small Dick
db: batch=76, k=10, 2 28 2 28 2

SPT(16)	1146351890906150737	0 22 30 90 124 154 180 202 204 226 252 282 316 376 384 406	-1525050156670
STPT(10)	1146352181219182907	0 2 30 32 72 74 114 116 144 146	-1234737124500
SPT(16)	1146352446580847677	0 12 40 70 94 100 106 120 196 210 216 222 246 276 304 316	-969375459730
SPT(16)	1146352662455942791	0 6 22 66 76 106 148 150 208 210 252 282 292 336 352 358	-753500364616
STPT(10)	1146352734868729439	0 2 18 20 30 32 42 44 60 62	-681087577968
STPT(10)	1146353249313638417	0 2 72 74 102 104 132 134 204 206	-166642668990
STPT(10)	1146353554432495217	0 2 54 56 72 74 90 92 144 146	138476187810
STPT(10)	1146353661608204471	0 2 36 38 78 80 120 122 156 158	245651897064
SPT(16)	1146353881919013511	0 28 60 106 130 150 162 172 216 226 238 258 282 328 360 388	465962706104
SPT(16)	1146354048282981817	0 34 42 54 66 76 126 136 240 250 300 310 322 334 342 376	632326674410
STPT(10)	1146354213451910987	0 2 30 32 42 44 54 56 84 86	797495603580