Prime p₀= 728637468855029519 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: MarkRBright
db: batch=73, k=10, 2 40 2 16 2

SPT(16)	728636940505839419	0 14 18 48 60 68 104 108 134 138 174 182 194 224 228 242	-528349190100
SPT(18)	728636979124320199	0 40 42 52 84 112 118 138 142 150 154 174 180 208 240 250 252 292	-489730709320
STPT(10)	728636991286706807	0 2 30 32 42 44 54 56 84 86	-477568322712
SPT(16)	728637004625331391	0 16 58 78 88 120 126 142 156 172 178 210 220 240 282 298	-464229698128
SPT(16)	728637285317154581	0 2 12 18 20 26 42 60 128 146 162 168 170 176 186 188	-183537874938
STPT(10)	728637313372041947	0 2 30 32 42 44 54 56 84 86	-155482987572
SPT(16)	728637500572994279	0 24 38 42 78 98 102 164 288 350 354 374 410 414 428 452	31717964760
STPT(10)	728637729710488649	0 2 42 44 60 62 78 80 120 122	260855459130
STPT(10)	728637744448639187	0 2 30 32 42 44 54 56 84 86	275593609668
SPT(16)	728638483567466863	0 6 18 30 34 48 70 76 108 114 136 150 154 166 178 184	1014712437344
STPT(10)	728638612201863677	0 2 12 14 42 44 72 74 84 86	1143346834158