Prime p₀= 4305829538974073021 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Chooka
db: batch=85, k=10, 2 4 2 10 2

SPT(16)	4305828450879824243	0 44 60 90 114 170 174 200 240 266 270 326 350 380 396 440	-1088094248778
TPT(14)	4305828640432699949	0 2 30 32 60 62 72 74 240 242 252 254 288 290	-898541373072
SPT(16)	4305828873631857881	0 26 30 38 72 86 92 96 152 156 162 176 210 218 222 248	-665342215140
STPT(10)	4305829164257521427	0 2 90 92 102 104 114 116 204 206	-374716551594
STPT(10)	4305829256916674957	0 2 30 32 42 44 54 56 84 86	-282057398064
SPT(16)	4305829280752005551	0 30 62 68 72 132 168 180 230 242 278 338 342 348 380 410	-258222067470
SPT(16)	4305829625340452423	0 18 26 44 54 96 126 128 156 158 188 230 240 258 266 284	86366379402
SPT(16)	4305829732492690799	0 12 20 60 62 122 144 290 294 440 462 522 524 564 572 584	193518617778
TPT(14)	4305829848781491689	0 2 42 44 72 74 138 140 150 152 168 170 192 194	309807418668
SPT(18)	4305830302502702819	0 30 54 80 98 110 182 248 294 308 354 420 492 504 522 548 572 602	763528629798
SPT(16)	4305830790515928007	0 24 46 112 126 222 250 256 300 306 334 430 444 510 532 556	1251541854986