Prime p₀= 1081597799732801357 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: [SG-FC] hl
db: batch=76, k=10, 2 28 2 10 2

SPT(16)	1081596399845058247	0 10 12 36 54 66 82 132 184 234 250 262 280 304 306 316	-1399887743110
STPT(10)	1081596423317870459	0 2 18 20 30 32 42 44 60 62	-1376414930898
SPT(16)	1081597222583552929	0 34 64 88 102 112 118 130 132 144 150 160 174 198 228 262	-577149248428
TPT(14)	1081597387856449109	0 2 42 44 60 62 72 74 90 92 120 122 198 200	-411876352248
STPT(10)	1081597468653500957	0 2 30 32 72 74 114 116 144 146	-331079300400
STPT(10)	1081597755079557251	0 2 6 8 48 50 90 92 96 98	-44653244106
STPT(10)	1081597878911460917	0 2 30 32 42 44 54 56 84 86	79178659560
STPT(10)	1081597967176944167	0 2 30 32 42 44 54 56 84 86	167444142810
SPT(16)	1081598337331549879	0 22 28 58 70 78 102 114 118 130 154 162 174 204 210 232	537598748522
SPT(16)	1081598556431399939	0 38 48 62 78 98 158 242 258 342 402 422 438 452 462 500	756698598582
STPT(10)	1081598570418946157	0 2 30 32 42 44 54 56 84 86	770686144800