Prime p₀= 2627678323666781027 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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 22 2 16 2

SPT(16)	2627676105079189429	0 42 72 82 84 90 114 154 240 280 304 310 312 322 352 394	-2218587591598
SPT(16)	2627676827124793607	0 60 66 86 104 146 150 174 182 206 210 252 270 290 296 356	-1496541987420
SPT(16)	2627676957213114601	0 22 70 72 90 120 156 196 216 256 292 322 340 342 390 412	-1366453666426
STPT(10)	2627677418037615701	0 2 6 8 18 20 30 32 36 38	-905629165326
TPT(14)	2627677710014290931	0 2 6 8 18 20 48 50 90 92 138 140 240 242	-613652490096
SPT(18)	2627678290583902051	0 6 30 40 70 72 96 130 132 136 138 172 196 198 228 238 262 268	-33082878976
STPT(10)	2627678488836350837	0 2 24 26 42 44 60 62 84 86	165169569810
SPT(16)	2627678855830417007	0 20 50 72 84 120 146 164 222 240 266 302 314 336 366 386	532163635980
TPT(14)	2627678928685673789	0 2 78 80 90 92 180 182 210 212 318 320 330 332	605018892762
SPT(16)	2627679131090126567	0 6 32 54 60 86 102 132 164 194 210 236 242 264 290 296	807423345540
TPT(16)	2627679280271283101	0 2 66 68 78 80 108 110 138 140 180 182 216 218 246 248	956604502074