Prime p₀= 3012807690465560087 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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: 146
Found by: Alnitak2019
db: batch=82, k=10, 2 58 2 10 2

SPT(16)	3012806522442790751	0 2 38 60 80 86 126 140 168 182 222 228 248 270 306 308	-1168022769336
SPT(16)	3012806673873466553	0 20 66 68 116 180 230 284 300 354 404 468 516 518 564 584	-1016592093534
SPT(16)	3012806773281545089	0 40 48 64 124 142 198 202 240 244 300 318 378 394 402 442	-917184014998
TPT(14)	3012806881260325307	0 2 72 74 210 212 222 224 270 272 300 302 312 314	-809205234780
SPT(16)	3012806925281550757	0 6 10 16 34 52 76 112 114 150 174 192 210 216 220 226	-765184009330
STPT(10)	3012807611223859037	0 2 30 32 42 44 54 56 84 86	-79241701050
SPT(16)	3012807784633073489	0 18 54 102 110 132 138 164 168 194 200 222 230 278 314 332	94167513402
SPT(16)	3012807959587610963	0 8 38 78 116 150 164 176 258 270 284 318 356 396 426 434	269122050876
STPT(10)	3012807989563926311	0 2 6 8 18 20 30 32 36 38	299098366224
STPT(10)	3012808154328973631	0 2 36 38 78 80 120 122 156 158	463863413544
SPT(16)	3012808272230884019	0 12 90 98 110 120 162 188 204 230 272 282 294 302 380 392	581765323932