Prime p₀= 1124793986058259217 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: crashtech
db: batch=76, k=10, 2 28 2 10 2

SPT(16)	1124793339597957871	0 6 36 46 160 210 228 256 270 298 316 366 480 490 520 526	-646460301346
STPT(10)	1124793495854269697	0 2 30 32 42 44 54 56 84 86	-490203989520
SPT(16)	1124793510849313427	0 20 26 42 56 84 126 162 224 260 302 330 344 360 366 386	-475208945790
SPT(16)	1124793633664314371	0 18 38 86 128 156 158 200 216 258 260 288 330 378 398 416	-352393944846
SPT(16)	1124793724918710233	0 8 50 56 78 104 144 158 216 230 270 296 318 324 366 374	-261139548984
SPT(16)	1124793807267836383	0 30 34 118 124 144 150 166 228 244 250 270 276 360 364 394	-178790422834
STPT(10)	1124794012491790757	0 2 30 32 42 44 54 56 84 86	26433531540
SPT(16)	1124794217841629509	0 12 94 118 124 142 144 154 198 208 210 228 234 258 340 352	231783370292
STPT(10)	1124794291844073839	0 2 18 20 30 32 42 44 60 62	305785814622
STPT(10)	1124794390896751577	0 2 30 32 72 74 114 116 144 146	404838492360
SPT(16)	1124794574230082023	0 10 30 78 90 94 108 154 234 280 294 298 310 358 378 388	588171822806