Prime p₀= 1052596158871535777 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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: stoneageman
db: batch=76, k=10, 2 28 2 40 2

SPT(16)	1052595127025685583	0 6 18 28 96 120 138 160 174 196 214 238 306 316 328 334	-1031845850194
STPT(10)	1052595455113357451	0 2 6 8 18 20 30 32 36 38	-703758178326
SPT(16)	1052595735784760119	0 10 30 40 52 58 60 112 168 220 222 228 240 250 270 280	-423086775658
SPT(16)	1052595801834148031	0 92 126 140 168 258 410 578 630 798 950 1040 1068 1082 1116 1208	-357037387746
STPT(10)	1052595903443983697	0 2 30 32 42 44 54 56 84 86	-255427552080
TPT(14)	1052596047116324279	0 2 18 20 90 92 252 254 270 272 288 290 312 314	-111755211498
STPT(10)	1052596212155349317	0 2 30 32 42 44 54 56 84 86	53283813540
SPT(16)	1052596553623622171	0 2 6 42 50 80 146 156 182 192 258 288 296 332 336 338	394752086394
SPT(16)	1052596711686658993	0 60 64 66 70 108 130 136 138 144 166 204 208 210 214 274	552815123216
SPT(16)	1052596747080305611	0 6 16 18 42 48 52 72 106 126 130 136 160 162 172 178	588208769834
STPT(10)	1052596902615340499	0 2 18 20 30 32 42 44 60 62	743743804722