Prime p₀= 1230596665047008261 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: Cruncher Pete
db: batch=77, k=10, 2 28 2 28 2

SPT(16)	1230594722789456623	0 16 30 36 60 96 130 154 156 180 214 250 274 280 294 310	-1942257551638
SPT(16)	1230594761142419539	0 10 60 70 88 102 142 150 172 180 220 234 252 262 312 322	-1903904588722
SPT(16)	1230594896029144549	0 24 60 100 112 180 198 220 282 304 322 390 402 442 478 502	-1769017863712
SPT(16)	1230594922168113371	0 42 62 90 102 108 116 146 162 192 200 206 218 246 266 308	-1742878894890
STPT(10)	1230595511921447027	0 2 30 32 72 74 114 116 144 146	-1153125561234
SPT(13)	1230595679304388477	0 12 42 54 72 114 132 150 192 210 222 252 264	-985742619784
STPT(10)	1230597120570621239	0 2 18 20 60 62 102 104 120 122	455523612978
TPT(14)	1230597878656253801	0 2 36 38 66 68 78 80 108 110 168 170 198 200	1213609245540
TPT(14)	1230597982132866119	0 2 108 110 120 122 180 182 258 260 342 344 528 530	1317085857858
SPT(16)	1230598387636370353	0 40 46 144 150 154 196 208 306 318 360 364 370 468 474 514	1722589362092
STPT(10)	1230598519867314077	0 2 30 32 42 44 54 56 84 86	1854820305816