Prime p₀= 1079724244403553167 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: crashtech
db: batch=76, k=10, 2 40 2 28 2

SPT(16)	1079723462101659629	0 24 30 48 72 114 132 140 192 200 218 260 284 302 308 332	-782301893538
STPT(10)	1079723732585096741	0 2 6 8 18 20 30 32 36 38	-511818456426
TPT(14)	1079723982678342581	0 2 30 32 66 68 270 272 306 308 360 362 420 422	-261725210586
SPT(16)	1079724108824113717	0 4 12 34 60 70 82 96 250 264 276 286 312 334 342 346	-135579439450
SPT(16)	1079724148762154419	0 28 52 54 72 82 84 108 184 208 210 220 238 240 264 292	-95641398748
STPT(10)	1079724216146079377	0 2 30 32 42 44 54 56 84 86	-28257473790
SPT(16)	1079724661941784081	0 6 12 46 90 112 130 132 136 138 156 178 222 256 262 268	417538230914
TPT(14)	1079724962179608881	0 2 6 8 36 38 48 50 78 80 108 110 120 122	717776055714
STPT(10)	1079724962179608917	0 2 12 14 42 44 72 74 84 86	717776055750
SPT(16)	1079724982675505743	0 16 30 48 54 136 150 166 168 184 198 280 286 304 318 334	738271952576
TPT(14)	1079725021062114827	0 2 12 14 54 56 72 74 114 116 180 182 210 212	776658561660