Prime p₀= 1123467191083791017 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 40 2 40 2 58 2 (?)
a_n: 0 2 60 62 102 104 144 146 204 206
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: 206
Found by: crashtech
db: batch=76, k=10, 2 58 2 40 2

TPT(14)	1123466222673836441	0 2 78 80 96 98 138 140 288 290 306 308 330 332	-968409954576
SPT(16)	1123466328891369899	0 14 38 42 44 78 80 104 108 132 134 168 170 174 198 212	-862192421118
SPT(20)	1123466351612125483	0 4 6 34 46 58 70 78 84 130 144 190 196 204 216 228 240 268 270 274	-839471665534
STPT(10)	1123466527291881317	0 2 30 32 42 44 54 56 84 86	-663791909700
STPT(10)	1123466949706987181	0 2 6 8 18 20 30 32 36 38	-241376803836
SPT(16)	1123467122785290071	0 8 18 20 26 32 62 66 92 96 126 132 138 140 150 158	-68298500946
SPT(16)	1123467502878881429	0 44 48 68 92 110 152 162 230 240 282 300 324 344 348 392	311795090412
SPT(16)	1123467536122904569	0 18 64 88 100 102 114 232 240 358 370 372 384 408 454 472	345039113552
SPT(16)	1123467536784852379	0 24 60 70 148 228 250 274 294 318 340 420 498 508 544 568	345701061362
SPT(16)	1123468103657762699	0 2 30 42 62 102 188 200 210 222 308 348 368 380 408 410	912573971682
STPT(10)	1123468116790859207	0 2 30 32 42 44 54 56 84 86	925707068190