Prime p₀= 2128591058766512297 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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: Daniel Conrad Broom
db: batch=80, k=10, 2 58 2 10 2

STPT(10)	2128589231761730501	0 2 30 32 78 80 126 128 156 158	-1827004781796
STPT(10)	2128589434003246691	0 2 36 38 78 80 120 122 156 158	-1624763265606
SPT(16)	2128589694991378559	0 42 48 54 68 84 92 132 140 180 188 204 218 224 230 272	-1363775133738
STPT(10)	2128589724845198939	0 2 18 20 30 32 42 44 60 62	-1333921313358
SPT(16)	2128589759940384259	0 52 120 138 172 190 280 288 382 390 480 498 532 550 618 670	-1298826128038
SPT(16)	2128590537668944669	0 4 12 22 28 48 60 78 94 112 124 144 150 160 168 172	-521097567628
STPT(10)	2128591157928949067	0 2 54 56 72 74 90 92 144 146	99162436770
TPT(14)	2128591244758649687	0 2 120 122 132 134 144 146 330 332 342 344 354 356	185992137390
STPT(12)	2128591244758649807	0 2 12 14 24 26 210 212 222 224 234 236	185992137510
STPT(12)	2128591364364578591	0 2 30 32 60 62 126 128 156 158 186 188	305598066294
STPT(10)	2128591431522306209	0 2 18 20 30 32 42 44 60 62	372755793912