Prime p₀= 2205413737213676177 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: Penguin
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2205411986634366781	0 6 40 42 66 102 112 148 150 186 196 232 256 258 292 298	-1750579309396
SPT(16)	2205412259831682793	0 30 40 114 124 154 160 166 234 240 246 276 286 360 370 400	-1477381993384
SPT(16)	2205412536503230801	0 22 42 90 172 180 192 196 312 316 328 336 418 466 486 508	-1200710445376
STPT(10)	2205413483348636381	0 2 6 8 18 20 30 32 36 38	-253865039796
SPT(16)	2205413518391515093	0 18 28 58 78 84 90 106 138 154 160 166 186 216 226 244	-218822161084
STPT(10)	2205413723742088001	0 2 6 8 18 20 30 32 36 38	-13471588176
SPT(16)	2205413782202091047	0 12 30 42 54 56 74 80 186 192 210 212 224 236 254 266	44988414870
TPT(14)	2205413878366230317	0 2 42 44 60 62 120 122 132 134 144 146 240 242	141152554140
SPT(13)	2205413955716697731	0 12 48 90 108 132 150 168 192 210 252 288 300	218503021554
SPT(13)	2205415697602832537	0 42 60 72 120 132 186 240 252 300 312 330 372	1960389156360
STPT(10)	2205416240506206779	0 2 18 20 30 32 42 44 60 62	2503292530602