Prime p₀= 3012807611223859037 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: Alnitak2019
db: batch=82, k=10, 2 28 2 10 2

STPT(10)	3012806392769952671	0 2 6 8 48 50 90 92 96 98	-1218453906366
SPT(16)	3012806522442790751	0 2 38 60 80 86 126 140 168 182 222 228 248 270 306 308	-1088781068286
SPT(16)	3012806673873466553	0 20 66 68 116 180 230 284 300 354 404 468 516 518 564 584	-937350392484
SPT(16)	3012806773281545089	0 40 48 64 124 142 198 202 240 244 300 318 378 394 402 442	-837942313948
TPT(14)	3012806881260325307	0 2 72 74 210 212 222 224 270 272 300 302 312 314	-729963533730
SPT(16)	3012806925281550757	0 6 10 16 34 52 76 112 114 150 174 192 210 216 220 226	-685942308280
STPT(10)	3012807690465560087	0 2 60 62 72 74 84 86 144 146	79241701050
SPT(16)	3012807784633073489	0 18 54 102 110 132 138 164 168 194 200 222 230 278 314 332	173409214452
SPT(16)	3012807959587610963	0 8 38 78 116 150 164 176 258 270 284 318 356 396 426 434	348363751926
STPT(10)	3012807989563926311	0 2 6 8 18 20 30 32 36 38	378340067274
STPT(10)	3012808154328973631	0 2 36 38 78 80 120 122 156 158	543105114594