Prime p₀= 2313310469090074187 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: WTBroughton
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2313307920995410223	0 36 44 66 80 84 120 126 128 134 170 174 188 210 218 254	-2548094663964
SPT(16)	2313308017265025577	0 12 30 42 46 54 66 82 114 130 142 150 154 166 184 196	-2451825048610
STPT(10)	2313308682885882347	0 2 12 14 42 44 72 74 84 86	-1786204191840
SPT(16)	2313309326689728853	0 28 30 100 118 126 166 250 324 408 448 456 474 544 546 574	-1142400345334
SPT(16)	2313309780958910161	0 16 22 46 58 60 70 88 120 138 148 150 162 186 192 208	-688131164026
SPT(16)	2313310381011005693	0 66 80 108 126 140 158 176 240 258 276 290 308 336 350 416	-88079068494
STPT(10)	2313310546321631951	0 2 6 8 48 50 90 92 96 98	77231557764
SPT(16)	2313311276691773087	0 2 6 104 140 164 200 254 372 426 462 486 522 620 624 626	807601698900
STPT(10)	2313311326720529909	0 2 12 14 90 92 168 170 180 182	857630455722
SPT(16)	2313311729710204523	0 6 44 56 60 80 84 86 144 146 150 170 174 186 224 230	1260620130336
SPT(16)	2313311815678525031	0 38 42 62 102 122 140 168 212 240 258 278 318 338 342 380	1346588450844