Prime p₀= 2261430627425831177 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

STPT(10)	2261428832594961719	0 2 18 20 30 32 42 44 60 62	-1794830869458
SPT(16)	2261429185343800133	0 44 56 110 114 116 126 138 176 188 198 200 204 258 270 314	-1442082031044
SPT(16)	2261430233019274049	0 12 24 54 74 102 134 140 144 150 182 210 230 260 272 284	-394406557128
SPT(16)	2261430246693395137	0 6 16 34 52 70 84 94 132 142 156 174 192 210 220 226	-380732436040
SPT(13)	2261430426593429513	0 36 48 60 66 78 168 258 270 276 288 300 336	-200832401664
SPT(16)	2261430597544377863	0 6 74 80 84 114 156 170 204 218 260 290 294 300 368 374	-29881453314
STPT(10)	2261430798599672627	0 2 30 32 72 74 114 116 144 146	171173841450
SPT(16)	2261431193019368003	0 20 74 78 116 126 144 176 228 260 278 288 326 330 384 404	565593536826
SPT(16)	2261431321680734443	0 34 58 94 108 118 120 144 160 184 186 196 210 246 270 304	694254903266
STPT(10)	2261431964945925437	0 2 30 32 42 44 54 56 84 86	1337520094260
SPT(16)	2261432743455044923	0 24 36 46 66 84 88 106 108 126 130 148 168 178 190 214	2116029213746