Prime p₀= 1551458468549400371 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: crashtech
db: batch=78, k=10, 2 34 2 40 2

SPT(16)	1551456773288280337	0 10 24 34 72 94 96 156 160 220 222 244 282 292 306 316	-1695261120034
SPT(16)	1551457004750359951	0 6 18 28 30 40 46 142 156 252 258 268 270 280 292 298	-1463799040420
TPT(14)	1551457070339211437	0 2 24 26 42 44 54 56 132 134 162 164 174 176	-1398210188934
STPT(10)	1551457681633179029	0 2 12 14 180 182 348 350 360 362	-786916221342
STPT(10)	1551457765647303209	0 2 48 50 90 92 132 134 180 182	-702902097162
SPT(16)	1551458206611293719	0 82 100 102 124 138 148 172 180 204 214 228 250 252 270 352	-261938106652
STPT(12)	1551458540387558189	0 2 30 32 72 74 90 92 132 134 162 164	71838157818
TPT(14)	1551458540387558189	0 2 30 32 72 74 90 92 132 134 162 164 168 170	71838157818
SPT(16)	1551458555102286739	0 12 124 172 214 240 252 270 292 310 322 348 390 438 550 562	86552886368
STPT(10)	1551459508056935801	0 2 30 32 78 80 126 128 156 158	1039507535430
STPT(10)	1551459804083419091	0 2 36 38 78 80 120 122 156 158	1335534018720