Prime p₀= 1377258303281921909 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: emoga
db: batch=77, k=10, 2 28 2 28 2

STPT(12)	1377257521977749021	0 2 30 32 36 38 120 122 126 128 156 158	-781304172888
SPT(16)	1377257684624556193	0 28 30 78 88 90 96 114 130 148 154 156 166 214 216 244	-618657365716
STPT(10)	1377257687281802657	0 2 60 62 102 104 144 146 204 206	-616000119252
SPT(16)	1377257935573986077	0 56 62 86 126 140 152 170 192 210 222 236 276 300 306 362	-367707935832
SPT(16)	1377258091984194743	0 66 68 78 120 144 246 248 306 308 410 434 476 486 488 554	-211297727166
STPT(10)	1377258200964011489	0 2 12 14 30 32 48 50 60 62	-102317910420
STPT(10)	1377258325233994517	0 2 30 32 42 44 54 56 84 86	21952072608
TPT(14)	1377258719865828431	0 2 78 80 90 92 126 128 168 170 186 188 216 218	416583906522
SPT(16)	1377258813344513977	0 34 54 70 96 114 120 126 154 160 166 184 210 226 246 280	510062592068
SPT(16)	1377258938492549677	0 12 24 34 36 66 76 96 190 210 220 250 252 262 274 286	635210627768
STPT(10)	1377259136424744359	0 2 48 50 90 92 132 134 180 182	833142822450