Prime p₀= 2669830989243385997 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: pah
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2669829612392081927	0 14 42 50 60 74 84 102 134 152 162 176 186 194 222 236	-1376851304070
SPT(16)	2669829805048128451	0 16 58 60 120 178 196 226 240 270 288 346 406 408 450 466	-1184195257546
STPT(10)	2669829835393590827	0 2 12 14 42 44 72 74 84 86	-1153849795170
SPT(16)	2669830578025545281	0 32 50 62 78 138 152 168 230 246 260 320 336 348 366 398	-411217840716
SPT(16)	2669830633782860153	0 20 36 50 56 78 140 156 188 204 266 288 294 308 324 344	-355460525844
TPT(14)	2669830726972736909	0 2 30 32 138 140 150 152 162 164 288 290 390 392	-262270649088
STPT(10)	2669831019119198327	0 2 30 32 42 44 54 56 84 86	29875812330
SPT(16)	2669831052162891311	0 92 120 128 140 162 182 186 242 246 266 288 300 308 336 428	62919505314
SPT(16)	2669831446756688881	0 46 78 120 148 160 168 190 258 280 288 300 328 370 402 448	457513302884
SPT(16)	2669831482389645257	0 24 56 60 84 110 144 162 164 182 216 242 266 270 302 326	493146259260
STPT(10)	2669831690621705501	0 2 48 50 108 110 168 170 216 218	701378319504