Prime p₀= 2159978666321601449 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=81, k=10, 2 16 2 40 2

SPT(16)	2159976869602576333	0 36 46 66 106 108 150 166 168 184 226 228 268 288 298 334	-1796719025116
STPT(10)	2159976880530154757	0 2 30 32 42 44 54 56 84 86	-1785791446692
STPT(10)	2159977026915917777	0 2 12 14 42 44 72 74 84 86	-1639405683672
SPT(16)	2159977199899534781	0 2 6 72 78 96 120 152 156 188 212 230 236 302 306 308	-1466422066668
SPT(16)	2159977230889649351	0 68 138 176 218 222 266 272 306 312 356 360 402 440 510 578	-1435431952098
SPT(16)	2159977993174716907	0 22 36 84 90 126 174 196 240 262 310 346 352 400 414 436	-673146884542
STPT(10)	2159978762509848821	0 2 30 32 78 80 126 128 156 158	96188247372
SPT(16)	2159978909773673011	0 28 48 52 60 66 72 78 100 106 112 118 126 130 150 178	243452071562
SPT(16)	2159979314328170779	0 22 42 52 54 72 94 114 148 168 190 208 210 220 240 262	648006569330
STPT(10)	2159979631801087427	0 2 60 62 102 104 144 146 204 206	965479485978
SPT(16)	2159979721181144267	0 12 60 96 126 144 164 192 224 252 272 290 320 356 404 416	1054859542818