Prime p₀= 3002578463273695037 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: [SG-FC] hl
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	3002576906859113743	0 46 76 84 124 136 144 180 250 286 294 306 346 354 384 430	-1556414581294
STPT(10)	3002577269595437267	0 2 30 32 42 44 54 56 84 86	-1193678257770
SPT(16)	3002577792629564059	0 30 40 54 102 108 120 144 148 172 184 190 238 252 262 292	-670644130978
SPT(16)	3002577844280392219	0 18 28 52 58 78 102 130 132 160 184 204 210 234 244 262	-618993302818
TPT(14)	3002578374398974949	0 2 12 14 30 32 138 140 180 182 210 212 222 224	-88874720088
SPT(16)	3002578408817536249	0 18 72 88 94 114 138 172 360 394 418 438 444 460 514 532	-54456158788
TPT(14)	3002578877950408397	0 2 42 44 90 92 114 116 132 134 144 146 174 176	414676713360
TPT(14)	3002579169817173587	0 2 42 44 54 56 90 92 114 116 132 134 144 146	706543478550
TPT(14)	3002579429750123777	0 2 12 14 54 56 114 116 162 164 204 206 240 242	966476428740
SPT(16)	3002579576745399643	0 48 100 114 144 174 178 220 234 276 280 310 340 354 406 454	1113471704606
STPT(10)	3002579583872824997	0 2 30 32 42 44 54 56 84 86	1120599129960