Prime p₀= 2181098291537259737 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: JayPi
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2181096759865454143	0 30 34 114 154 160 166 174 220 228 234 240 280 360 364 394	-1531671805594
STPT(10)	2181097101416604167	0 2 30 32 42 44 54 56 84 86	-1190120655570
SPT(16)	2181097605571400611	0 16 36 42 58 78 142 168 190 216 280 300 316 322 342 358	-685965859126
SPT(16)	2181097612830002359	0 10 34 42 54 58 94 132 160 198 234 238 250 258 282 292	-678707257378
SPT(20)	2181097659190860569	0 8 42 98 222 242 264 302 318 320 342 344 360 398 420 440 564 620 654 662	-632346399168
TPT(14)	2181097742095828679	0 2 30 32 90 92 132 134 168 170 222 224 312 314	-549441431058
SPT(16)	2181098323559499797	0 56 60 110 122 144 146 162 164 180 182 204 216 266 270 326	32022240060
TPT(14)	2181098853730154597	0 2 24 26 150 152 180 182 192 194 222 224 252 254	562192894860
STPT(10)	2181099194275751801	0 2 6 8 18 20 30 32 36 38	902738492064
SPT(16)	2181099870009009479	0 8 18 84 98 110 134 138 140 144 168 180 194 260 270 278	1578471749742
STPT(10)	2181099965783473247	0 2 42 44 102 104 162 164 204 206	1674246213510