Prime p₀= 2327376137813229857 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 16 2 16 2 52 2 (?)
a_n: 0 2 54 56 72 74 90 92 144 146
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: Orange Kid
db: batch=81, k=10, 2 52 2 16 2

SPT(16)	2327373153336747511	0 76 100 268 282 286 336 340 438 442 492 496 510 678 702 778	-2984476482346
STPT(10)	2327373499115931779	0 2 42 44 60 62 78 80 120 122	-2638697298078
STPT(12)	2327374640007075929	0 2 48 50 90 92 138 140 180 182 228 230	-1497806153928
SPT(16)	2327374721878126423	0 24 66 70 76 84 100 114 136 150 166 174 180 184 226 250	-1415935103434
SPT(16)	2327374729892913619	0 28 58 72 90 112 118 120 142 144 150 172 190 204 234 262	-1407920316238
STPT(10)	2327375403451753307	0 2 42 44 72 74 102 104 144 146	-734361476550
STPT(10)	2327376395975801081	0 2 6 8 18 20 30 32 36 38	258162571224
STPT(10)	2327376515790467147	0 2 30 32 42 44 54 56 84 86	377977237290
STPT(10)	2327376736172659079	0 2 18 20 30 32 42 44 60 62	598359429222
SPT(16)	2327377054201386293	0 14 18 60 84 110 140 186 218 264 294 320 344 386 390 404	916388156436
SPT(16)	2327377301675702411	0 50 66 72 78 146 176 218 240 282 312 380 386 392 408 458	1163862472554