Prime p₀= 1040232366679159019 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: [SG-2W]Kurzer
db: batch=76, k=10, 2 40 2 16 2

SPT(16)	1040230094645954899	0 4 42 78 84 88 100 130 222 252 264 268 274 310 348 352	-2272033204120
STPT(10)	1040230916605928657	0 2 30 32 42 44 54 56 84 86	-1450073230362
SPT(16)	1040231337878926901	0 2 30 36 42 68 96 138 140 182 210 236 242 248 276 278	-1028800232118
SPT(20)	1040231497050613937	0 6 56 60 66 114 144 146 180 186 194 200 234 236 266 314 320 324 374 380	-869628545082
SPT(16)	1040231945147834303	0 8 98 138 144 176 194 228 236 270 288 320 326 366 456 464	-421531324716
STPT(10)	1040231979228046019	0 2 48 50 60 62 72 74 120 122	-387451113000
SPT(16)	1040232751041322147	0 22 36 40 102 124 166 190 246 270 312 334 396 400 414 436	384362163128
TPT(14)	1040232850953225821	0 2 48 50 90 92 126 128 138 140 150 152 216 218	484274066802
STPT(10)	1040233402805155367	0 2 12 14 42 44 72 74 84 86	1036125996348
SPT(16)	1040233625891298659	0 32 38 44 90 104 140 150 182 192 228 242 288 294 300 332	1259212139640
SPT(16)	1040233901147092933	0 66 78 100 124 130 136 166 168 198 204 210 234 256 268 334	1534467933914