Prime p₀= 2031278303915360387 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: Landjunge
db: batch=80, k=10, 2 22 2 16 2

SPT(16)	2031277637114675087	0 20 26 80 102 132 140 146 180 186 194 224 246 300 306 326	-666800685300
SPT(16)	2031277675806202501	0 10 12 28 42 46 82 88 150 156 192 196 210 226 228 238	-628109157886
TPT(14)	2031277851935647499	0 2 30 32 60 62 90 92 198 200 228 230 240 242	-451979712888
TPT(14)	2031277886734403117	0 2 30 32 42 44 54 56 114 116 150 152 192 194	-417180957270
SPT(16)	2031277938524447141	0 62 68 72 78 92 158 198 200 240 306 320 326 330 336 398	-365390913246
SPT(16)	2031278198529701623	0 28 34 64 76 108 118 126 298 306 316 348 360 390 396 424	-105385658764
SPT(16)	2031278362683331963	0 10 24 34 54 84 90 108 190 208 214 244 264 274 288 298	58767971576
SPT(16)	2031278612067906431	0 80 126 182 258 266 308 318 380 390 432 440 516 572 618 698	308152546044
STPT(10)	2031278929682294111	0 2 30 32 120 122 210 212 240 242	625766933724
STPT(10)	2031279507060063341	0 2 6 8 48 50 90 92 96 98	1203144702954
STPT(10)	2031279532861654259	0 2 18 20 30 32 42 44 60 62	1228946293872