Prime p₀= 1025779947629075657 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: HenkM
db: batch=76, k=10, 2 40 2 28 2

SPT(16)	1025778661934966351	0 20 32 60 68 110 126 222 236 332 348 390 398 426 438 458	-1285694109306
SPT(16)	1025779069873055419	0 12 22 48 52 64 70 78 94 102 108 120 124 150 160 172	-877756020238
STPT(10)	1025779104742409117	0 2 60 62 72 74 84 86 144 146	-842886666540
STPT(12)	1025779700451868457	0 2 30 32 42 44 132 134 144 146 174 176	-247177207200
STPT(10)	1025779737674614367	0 2 30 32 42 44 54 56 84 86	-209954461290
SPT(16)	1025779751505685229	0 14 30 50 54 60 84 92 120 128 152 158 162 182 198 212	-196123390428
STPT(10)	1025780173248051437	0 2 60 62 72 74 84 86 144 146	225618975780
SPT(16)	1025780387628230177	0 12 26 56 72 114 116 146 150 180 182 224 240 270 284 296	439999154520
SPT(16)	1025780480117298203	0 30 36 84 210 224 240 270 284 314 330 344 470 518 524 554	532488222546
SPT(16)	1025780637474674083	0 66 70 88 94 106 136 144 160 168 198 210 216 234 238 304	689845598426
TPT(14)	1025780678853718859	0 2 162 164 198 200 210 212 222 224 282 284 288 290	731224643202