Prime p₀= 1311743514722124089 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: vaughan
db: batch=77, k=10, 2 46 2 40 2

STPT(10)	1311742087155081521	0 2 30 32 60 62 90 92 120 122	-1427567042568
SPT(16)	1311742252356158477	0 44 56 60 72 84 164 204 242 282 362 374 386 390 402 446	-1262365965612
SPT(16)	1311742317279978811	0 10 12 28 42 58 100 108 112 120 162 178 192 208 210 220	-1197442145278
STPT(10)	1311742477014963347	0 2 54 56 72 74 90 92 144 146	-1037707160742
STPT(10)	1311742805693810909	0 2 18 20 210 212 402 404 420 422	-709028313180
SPT(16)	1311743498803622917	0 36 40 84 112 126 132 172 204 244 250 264 292 336 340 376	-15918501172
SPT(18)	1311743794983515819	0 2 14 18 32 38 80 120 128 204 212 252 294 300 314 318 330 332	280261391730
TPT(14)	1311743853023828351	0 2 30 32 150 152 240 242 306 308 330 332 336 338	338301704262
STPT(12)	1311744059511551957	0 2 54 56 90 92 174 176 210 212 264 266	544789427868
STPT(10)	1311744152721909029	0 2 12 14 30 32 48 50 60 62	637999784940
SPT(16)	1311744260136959059	0 4 28 48 52 60 130 132 190 192 262 270 274 294 318 322	745414834970