Prime p₀= 1016238999795502331 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: vinn@[CNT]
db: batch=76, k=10, 2 28 2 28 2

STPT(10)	1016237383377891011	0 2 78 80 138 140 198 200 276 278	-1616417611320
SPT(16)	1016237404845536987	0 26 32 54 72 84 114 116 120 122 152 164 182 204 210 236	-1594949965344
SPT(16)	1016237977487809393	0 28 66 76 108 160 168 196 210 238 246 298 330 340 378 406	-1022307692938
SPT(16)	1016238132284874841	0 30 40 46 88 102 108 118 150 160 166 180 222 228 238 268	-867510627490
TPT(14)	1016238359848531871	0 2 6 8 186 188 210 212 240 242 270 272 396 398	-639946970460
SPT(16)	1016238645281694581	0 8 38 80 110 138 168 182 216 230 260 288 318 360 390 398	-354513807750
STPT(10)	1016239078113760607	0 2 30 32 42 44 54 56 84 86	78318258276
SPT(18)	1016239145871599261	0 30 50 72 86 108 126 140 150 188 198 212 230 252 266 288 308 338	146076096930
SPT(16)	1016239351022164091	0 20 30 32 36 50 72 102 116 146 168 182 186 188 198 218	351226661760
STPT(10)	1016239473716527607	0 2 30 32 42 44 54 56 84 86	473921025276
TPT(14)	1016239583021268911	0 2 30 32 48 50 138 140 198 200 240 242 258 260	583225766580