Prime p₀= 2358970674233287199 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 136 2 40 2 40 2 136 2 (?)
a_n: 0 2 138 140 180 182 222 224 360 362
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: 362
Found by: [AF>Amis des Lapins] Fredjke
db: batch=81, k=10, 2 136 2 40 2

SPT(16)	2358968598610935721	0 22 28 42 78 88 130 210 268 348 390 400 436 450 456 478	-2075622351478
STPT(10)	2358969400387061177	0 2 60 62 72 74 84 86 144 146	-1273846226022
SPT(16)	2358969965930103839	0 108 132 134 140 174 188 222 230 264 278 312 318 320 344 452	-708303183360
SPT(16)	2358970144821479993	0 60 90 104 110 140 144 168 170 194 198 228 234 248 278 338	-529411807206
SPT(16)	2358970457989028431	0 42 48 52 66 70 108 118 120 130 168 172 186 190 196 238	-216244258768
STPT(10)	2358970624917311969	0 2 12 14 90 92 168 170 180 182	-49315975230
SPT(16)	2358971080792992517	0 40 46 54 66 70 90 96 124 130 150 154 166 174 180 220	406559705318
STPT(10)	2358971735875600367	0 2 54 56 132 134 210 212 264 266	1061642313168
STPT(10)	2358971992810206857	0 2 30 32 72 74 114 116 144 146	1318576919658
STPT(10)	2358972095086995569	0 2 18 20 30 32 42 44 60 62	1420853708370
SPT(16)	2358972872135892721	0 16 42 90 106 112 130 190 198 258 276 282 298 346 372 388	2197902605522