Prime p₀= 2136661664718182267 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: Landjunge
db: batch=80, k=10, 2 28 2 10 2

SPT(16)	2136659282368932173	0 14 24 48 66 146 158 168 206 216 228 308 326 350 360 374	-2382349250094
STPT(10)	2136659551427517461	0 2 36 38 78 80 120 122 156 158	-2113290664806
SPT(16)	2136660220500242809	0 12 28 42 154 180 198 264 268 334 352 378 490 504 520 532	-1444217939458
SPT(16)	2136660440205639583	0 4 48 54 58 78 88 100 144 156 166 186 190 196 240 244	-1224512542684
STPT(10)	2136660795763552517	0 2 30 32 42 44 54 56 84 86	-868954629750
STPT(10)	2136661161769438361	0 2 36 38 78 80 120 122 156 158	-502948743906
STPT(10)	2136661830591412697	0 2 24 26 42 44 60 62 84 86	165873230430
SPT(16)	2136662029182853993	0 34 64 90 94 108 120 144 220 244 256 270 274 300 330 364	364464671726
STPT(10)	2136662115878072537	0 2 42 44 72 74 102 104 144 146	451159890270
SPT(16)	2136662591468685443	0 50 78 104 146 176 228 258 326 356 408 438 480 506 534 584	926750503176
STPT(10)	2136662805833329559	0 2 30 32 60 62 90 92 120 122	1141115147292