Prime p₀= 848635684602025667 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Vitalii Koshura
db: batch=73, k=10, 2 10 2 28 2

SPT(16)	848633876560243547	0 2 14 20 36 72 152 176 180 204 284 320 336 342 354 356	-1808041782120
STPT(12)	848633885820062777	0 2 12 14 24 26 30 32 42 44 54 56	-1798781962890
SPT(16)	848634044223724097	0 6 56 66 72 104 114 120 176 182 192 224 230 240 290 296	-1640378301570
STPT(10)	848634102029153351	0 2 6 8 18 20 30 32 36 38	-1582572872316
SPT(16)	848634406474947607	0 16 34 42 60 84 120 132 184 196 232 256 274 282 300 316	-1278127078060
TPT(14)	848635035197050721	0 2 6 8 48 50 90 92 168 170 180 182 306 308	-649404974946
SPT(16)	848635708512750527	0 26 66 74 116 120 132 150 176 194 206 210 252 260 300 326	23910724860
TPT(14)	848635927770463487	0 2 42 44 90 92 114 116 174 176 180 182 210 212	243168437820
SPT(16)	848636409322321471	0 18 22 40 88 96 106 112 186 192 202 210 258 276 280 298	724720295804
STPT(10)	848636543021885867	0 2 30 32 42 44 54 56 84 86	858419860200
SPT(16)	848636992182462113	0 8 56 66 86 114 116 140 144 168 170 198 218 228 276 284	1307580436446