Prime p₀= 3091521905895673301 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: fake
db: batch=83, k=10, 2 4 2 10 2

SPT(16)	3091520604125159669	0 2 38 42 80 110 138 170 222 254 282 312 350 354 390 392	-1301770513632
STPT(10)	3091520620250963267	0 2 54 56 132 134 210 212 264 266	-1285644710034
SPT(16)	3091521019151352673	0 6 18 34 88 96 138 156 298 316 358 366 420 436 448 454	-886744320628
STPT(10)	3091521372353639999	0 2 42 44 90 92 138 140 180 182	-533542033302
STPT(10)	3091521450066962789	0 2 30 32 60 62 90 92 120 122	-455828710512
SPT(16)	3091521787542096131	0 20 42 72 116 126 132 168 200 236 242 252 296 326 348 368	-118353577170
SPT(16)	3091522120046570981	0 8 12 26 56 60 68 96 122 150 158 162 192 206 210 218	214150897680
STPT(12)	3091522208372896391	0 2 30 32 60 62 168 170 198 200 228 230	302477223090
TPT(14)	3091522286065809929	0 2 60 62 90 92 102 104 180 182 240 242 312 314	380170136628
STPT(10)	3091522290413900207	0 2 42 44 72 74 102 104 144 146	384518226906
SPT(16)	3091522583452532107	0 16 22 42 64 84 114 126 160 172 202 222 244 264 270 286	677556858806