Prime p₀= 2234379587626621187 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: Orange Kid
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2234378246211859357	0 16 22 82 96 100 114 156 190 232 246 250 264 324 330 346	-1341414761830
SPT(16)	2234378360879482481	0 26 48 56 132 170 186 192 356 362 378 416 492 500 522 548	-1226747138706
SPT(16)	2234378390056315501	0 6 40 70 76 190 208 216 322 330 348 462 468 498 532 538	-1197570305686
SPT(16)	2234378803477568071	0 18 30 58 112 220 252 262 288 298 330 438 492 520 532 550	-784149053116
STPT(10)	2234379407042809457	0 2 12 14 72 74 132 134 144 146	-180583811730
SPT(16)	2234379450497592529	0 10 40 60 82 108 112 124 138 150 154 180 202 222 252 262	-137129028658
STPT(10)	2234379652316791121	0 2 6 8 18 20 30 32 36 38	64690169934
STPT(10)	2234379691569680507	0 2 30 32 72 74 114 116 144 146	103943059320
STPT(10)	2234380320380311919	0 2 12 14 30 32 48 50 60 62	732753690732
SPT(16)	2234380555631995973	0 44 56 60 86 108 114 156 158 200 206 228 254 258 270 314	968005374786
STPT(10)	2234381006490154199	0 2 18 20 30 32 42 44 60 62	1418863533012