Prime p₀= 2800501555023701729 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
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: 182
Found by: JayPi
db: batch=82, k=10, 2 46 2 40 2

SPT(16)	2800500147770127323	0 8 14 20 56 78 146 164 300 318 386 408 444 450 456 464	-1407253574406
SPT(16)	2800500190409422667	0 20 24 26 60 66 74 90 110 126 134 140 174 176 180 200	-1364614279062
SPT(16)	2800500721605961229	0 32 72 102 218 224 234 318 434 518 528 534 650 680 720 752	-833417740500
STPT(10)	2800500967757714159	0 2 78 80 120 122 162 164 240 242	-587265987570
STPT(10)	2800501047359357567	0 2 30 32 42 44 54 56 84 86	-507664344162
STPT(10)	2800501403168452271	0 2 36 38 78 80 120 122 156 158	-151855249458
SPT(16)	2800501584858782023	0 24 48 66 90 114 130 148 156 174 190 214 238 256 280 304	29835080294
STPT(10)	2800501657658724161	0 2 6 8 18 20 30 32 36 38	102635022432
SPT(16)	2800501663414888963	0 6 54 66 78 96 106 118 126 138 148 166 178 190 238 244	108391187234
STPT(10)	2800501721009491127	0 2 30 32 72 74 114 116 144 146	165985789398
STPT(10)	2800501975841690579	0 2 18 20 30 32 42 44 60 62	420817988850