Prime p₀= 2303021807228393357 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: MarkRBright
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2303019179858767717	0 12 46 70 96 106 112 124 162 174 180 190 216 240 274 286	-2627369625640
STPT(10)	2303019306470174309	0 2 42 44 90 92 138 140 180 182	-2500758219048
STPT(12)	2303019311528556029	0 2 78 80 90 92 168 170 180 182 258 260	-2495699837328
STPT(12)	2303020001558519819	0 2 30 32 42 44 78 80 90 92 120 122	-1805669873538
STPT(10)	2303020295062889879	0 2 78 80 120 122 162 164 240 242	-1512165503478
SPT(16)	2303020447287558749	0 18 84 122 134 182 288 312 350 374 480 528 540 578 644 662	-1359940834608
STPT(10)	2303022285160789637	0 2 54 56 132 134 210 212 264 266	477932396280
SPT(16)	2303022666199669151	0 38 50 62 78 92 96 108 110 122 126 140 156 168 180 218	858971275794
SPT(16)	2303022690874005631	0 18 70 88 90 108 112 150 160 198 202 220 222 240 292 310	883645612274
STPT(10)	2303022801447360659	0 2 42 44 60 62 78 80 120 122	994218967302
STPT(10)	2303022884029838417	0 2 42 44 72 74 102 104 144 146	1076801445060