Prime p₀= 1410669301237401617 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: rlacr
db: batch=78, k=10, 2 22 2 16 2

SPT(16)	1410668240319362347	0 4 22 66 94 240 250 274 312 336 346 492 520 564 582 586	-1060918039270
SPT(16)	1410668283307575463	0 10 34 90 108 114 118 136 138 156 160 166 184 240 264 274	-1017929826154
TPT(14)	1410668323977060647	0 2 42 44 72 74 90 92 114 116 204 206 210 212	-977260340970
STPT(10)	1410668656108317797	0 2 42 44 72 74 102 104 144 146	-645129083820
SPT(16)	1410668678144037121	0 18 52 60 96 112 150 192 196 238 276 292 328 336 370 388	-623093364496
SPT(16)	1410668764741697831	0 56 62 80 86 90 108 126 152 170 188 192 198 216 222 278	-536495703786
SPT(16)	1410669439990882807	0 30 40 42 130 154 172 186 190 204 222 246 334 336 346 376	138753481190
SPT(16)	1410669671574390973	0 48 64 84 106 166 208 270 274 336 378 438 460 480 496 544	370336989356
STPT(10)	1410669856978916291	0 2 6 8 18 20 30 32 36 38	555741514674
SPT(16)	1410670353145990903	0 18 46 84 108 126 148 156 178 186 208 226 250 288 316 334	1051908589286
SPT(16)	1410670676013424789	0 64 82 90 108 190 192 204 208 220 222 304 322 330 348 412	1374776023172