Prime p₀= 1016562519989843327 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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 10 2 58 2

SPT(16)	1016562053208934313	0 6 20 78 86 104 138 146 168 176 210 228 236 294 308 314	-466780909014
STPT(10)	1016562062875663397	0 2 30 32 60 62 90 92 120 122	-457114179930
SPT(13)	1016562126288380717	0 36 126 132 162 192 246 300 330 360 366 456 492	-393701462610
SPT(16)	1016562166634182697	0 14 26 62 84 92 96 104 132 140 144 152 174 210 222 236	-353355660630
SPT(16)	1016562176601416483	0 26 56 78 84 86 104 168 176 240 258 260 266 288 318 344	-343388426844
STPT(10)	1016562263719633229	0 2 18 20 30 32 42 44 60 62	-256270210098
SPT(16)	1016562630117317519	0 8 42 54 80 108 110 122 150 162 164 192 218 230 264 272	110127474192
STPT(10)	1016562640903720457	0 2 30 32 42 44 54 56 84 86	120913877130
STPT(10)	1016563757863019801	0 2 30 32 120 122 210 212 240 242	1237873176474
SPT(16)	1016563767862311191	0 56 90 110 122 146 152 182 216 246 252 276 288 308 342 398	1247872467864
STPT(10)	1016564005207114097	0 2 24 26 42 44 60 62 84 86	1485217270770