Prime p₀= 829320665290161659 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: schoussi
db: batch=73, k=10, 2 16 2 10 2

SPT(16)	829319134652557223	0 8 30 68 78 90 108 120 224 236 254 266 276 314 336 344	-1530637604436
TPT(14)	829319755176407177	0 2 12 14 42 44 114 116 144 146 180 182 270 272	-910113754482
SPT(16)	829319824619325071	0 36 48 60 92 96 110 126 152 168 182 186 218 230 242 278	-840670836588
STPT(10)	829320332541994757	0 2 90 92 102 104 114 116 204 206	-332748166902
STPT(10)	829320439680868547	0 2 24 26 42 44 60 62 84 86	-225609293112
STPT(10)	829320598946790497	0 2 30 32 42 44 54 56 84 86	-66343371162
SPT(16)	829320701108508613	0 34 46 58 60 90 96 114 130 148 154 184 186 198 210 244	35818346954
STPT(10)	829320857147254049	0 2 42 44 90 92 138 140 180 182	191857092390
STPT(10)	829321529866129757	0 2 30 32 72 74 114 116 144 146	864575968098
SPT(16)	829322099505768419	0 48 78 150 162 180 182 218 234 270 272 290 302 374 404 452	1434215606760
SPT(16)	829322350568733239	0 14 32 60 78 80 92 114 128 150 162 164 182 210 228 242	1685278571580