Prime p₀= 2396868610673208977 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: Xenon
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2396866651027224643	0 18 88 100 106 130 168 180 196 208 246 270 276 288 358 376	-1959645984334
SPT(16)	2396867027563762729	0 24 40 42 48 52 82 94 108 120 150 154 160 162 178 202	-1583109446248
STPT(10)	2396867610876595457	0 2 42 44 72 74 102 104 144 146	-999796613520
SPT(16)	2396867909328979937	0 6 36 50 54 56 74 116 120 162 180 182 186 200 230 236	-701344229040
SPT(16)	2396867952755382137	0 44 50 110 114 120 150 180 194 224 254 260 264 324 330 374	-657917826840
STPT(10)	2396868082466049989	0 2 18 20 30 32 42 44 60 62	-528207158988
SPT(16)	2396868996306501967	0 42 66 90 154 172 180 342 544 706 714 732 796 820 844 886	385633292990
STPT(10)	2396869223186186867	0 2 24 26 42 44 60 62 84 86	612512977890
STPT(10)	2396869716023987291	0 2 6 8 48 50 90 92 96 98	1105350778314
SPT(16)	2396869806757127099	0 30 32 48 68 80 98 102 110 114 132 144 164 180 182 212	1196083918122
SPT(16)	2396870110273658141	0 12 42 68 72 90 110 128 132 150 170 188 192 218 248 260	1499600449164