Prime p₀= 2098588557555257819 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: 122
Found by: Landjunge
db: batch=80, k=10, 2 16 2 40 2

SPT(16)	2098587734318588987	0 12 36 62 80 92 104 122 204 222 234 246 264 290 314 326	-823236668832
TPT(14)	2098587987308359241	0 2 36 38 78 80 198 200 210 212 288 290 426 428	-570246898578
SPT(16)	2098588001959157549	0 8 38 42 54 140 168 170 192 194 222 308 320 324 354 362	-555596100270
STPT(10)	2098588284201633839	0 2 18 20 30 32 42 44 60 62	-273353623980
STPT(10)	2098588496381165207	0 2 42 44 72 74 102 104 144 146	-61174092612
SPT(16)	2098588531830665447	0 2 14 44 60 62 102 110 174 182 222 224 240 270 282 284	-25724592372
SPT(16)	2098588595214311987	0 2 132 140 150 156 164 174 272 282 290 296 306 314 444 446	37659054168
STPT(10)	2098589092789978289	0 2 48 50 90 92 132 134 180 182	535234720470
STPT(10)	2098589127035914967	0 2 24 26 42 44 60 62 84 86	569480657148
SPT(16)	2098589317950935863	0 28 34 70 76 96 130 144 190 204 238 258 264 300 306 334	760395678044
SPT(16)	2098589382749674981	0 28 48 96 106 136 178 228 238 288 330 360 370 418 438 466	825194417162