Prime p₀= 2431560326647268777 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 70 2 70 2 28 2 (?)
a_n: 0 2 30 32 102 104 174 176 204 206
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: 206
Found by: JonS
db: batch=82, k=10, 2 28 2 70 2

SPT(16)	2431559023740436631	0 12 48 56 60 90 96 122 126 152 158 188 192 200 236 248	-1302906832146
STPT(10)	2431559129355328937	0 2 30 32 42 44 54 56 84 86	-1197291939840
SPT(20)	2431559310626828951	0 2 6 38 72 78 86 90 92 98 150 156 158 162 170 176 210 242 246 248	-1016020439826
STPT(10)	2431559458698883967	0 2 24 26 42 44 60 62 84 86	-867948384810
STPT(10)	2431559590304292947	0 2 90 92 102 104 114 116 204 206	-736342975830
SPT(16)	2431559665039616351	0 30 66 92 108 146 158 188 270 300 312 350 366 392 428 458	-661607652426
SPT(16)	2431560400729916777	0 54 60 66 96 102 116 126 170 180 194 200 230 236 242 296	74082648000
SPT(16)	2431560599526268291	0 12 60 72 90 118 132 138 202 208 222 250 268 280 328 340	272878999514
STPT(10)	2431560871912520531	0 2 78 80 138 140 198 200 276 278	545265251754
STPT(10)	2431560932805766121	0 2 6 8 48 50 90 92 96 98	606158497344
STPT(12)	2431560993983668289	0 2 12 14 30 32 120 122 138 140 150 152	667336399512