Prime p₀= 2992120187803265417 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 88 2 88 2 40 2 (?)
a_n: 0 2 42 44 132 134 222 224 264 266
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: 266
Found by: Roadranner
db: batch=82, k=10, 2 40 2 88 2

SPT(16)	2992118148478719523	0 46 76 90 106 160 186 214 246 274 300 354 370 384 414 460	-2039324545894
TPT(14)	2992119285289369379	0 2 102 104 180 182 198 200 222 224 258 260 282 284	-902513896038
SPT(16)	2992119423287033621	0 26 72 96 102 126 138 152 186 200 212 236 242 266 312 338	-764516231796
STPT(10)	2992119484626561239	0 2 18 20 30 32 42 44 60 62	-703176704178
SPT(16)	2992119800233894633	0 34 66 70 90 196 210 238 276 304 318 424 444 448 480 514	-387569370784
SPT(16)	2992119904038814657	0 16 54 70 120 154 184 190 210 216 246 280 330 346 384 400	-283764450760
SPT(16)	2992120520082662867	0 12 56 72 90 96 110 114 152 156 170 176 194 210 254 266	332279397450
SPT(16)	2992120669931327819	0 8 78 108 128 132 188 230 240 282 338 342 362 392 462 470	482128062402
STPT(10)	2992120732540653191	0 2 30 32 78 80 126 128 156 158	544737387774
STPT(10)	2992121168799283061	0 2 30 32 78 80 126 128 156 158	980996017644
SPT(16)	2992121290173015901	0 46 76 120 202 208 238 250 258 270 300 306 388 432 462 508	1102369750484