Prime p₀= 2152578302782145237 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: JayPi
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2152576753079414663	0 50 74 84 108 138 228 234 404 410 500 530 554 564 588 638	-1549702730574
STPT(10)	2152577290699916789	0 2 18 20 60 62 102 104 120 122	-1012082228448
SPT(16)	2152577648414194697	0 24 26 56 62 72 90 114 122 146 164 174 180 210 212 236	-654367950540
SPT(16)	2152577959410365387	0 14 60 66 90 102 104 150 176 222 224 236 260 266 312 326	-343371779850
SPT(16)	2152578174361904479	0 72 102 108 120 142 150 168 172 190 198 220 232 238 268 340	-128420240758
SPT(16)	2152578200798913449	0 18 50 60 108 122 132 162 170 200 210 224 272 282 314 332	-101983231788
SPT(16)	2152578306463037473	0 10 28 34 40 66 118 154 180 216 268 294 300 306 324 334	3680892236
SPT(16)	2152578450136275737	0 56 86 104 140 176 182 206 300 324 330 366 402 420 450 506	147354130500
STPT(10)	2152578957509372177	0 2 30 32 120 122 210 212 240 242	654727226940
SPT(16)	2152579037586508199	0 12 30 102 128 168 258 270 350 362 452 492 518 590 608 620	734804362962
SPT(16)	2152579091386323667	0 22 42 126 174 196 204 214 312 322 330 352 400 484 504 526	788604178430