Prime p₀= 2124887139885996929 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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 40 2 16 2

STPT(10)	2124885093288078761	0 2 6 8 48 50 90 92 96 98	-2046597918168
STPT(10)	2124885206698789817	0 2 60 62 72 74 84 86 144 146	-1933187207112
STPT(10)	2124885315959579021	0 2 30 32 60 62 90 92 120 122	-1823926417908
STPT(12)	2124885832212730859	0 2 30 32 42 44 138 140 150 152 180 182	-1307673266070
SPT(16)	2124886010847636761	0 6 72 140 152 162 180 182 216 218 236 246 258 326 392 398	-1129038360168
SPT(16)	2124886357883282003	0 14 24 26 80 110 138 140 174 176 204 234 288 290 300 314	-782002714926
STPT(10)	2124887697760155707	0 2 30 32 42 44 54 56 84 86	557874158778
SPT(16)	2124888607207400651	0 8 26 38 50 96 110 138 248 276 290 336 348 360 378 386	1467321403722
SPT(16)	2124888698698510463	0 38 50 56 66 78 96 158 186 248 266 278 288 294 306 344	1558812513534
STPT(10)	2124888739658250689	0 2 12 14 30 32 48 50 60 62	1599772253760
SPT(16)	2124889286597229143	0 26 36 50 66 80 134 146 168 180 234 248 264 278 288 314	2146711232214