Prime p₀= 2276711886201413501 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: Landjunge
db: batch=81, k=10, 2 34 2 40 2

SPT(16)	2276710290726689567	0 54 66 74 92 140 164 182 204 222 246 294 312 320 332 386	-1595474723934
SPT(16)	2276710521224361193	0 30 34 60 126 130 136 138 256 258 264 268 334 360 364 394	-1364977052308
SPT(16)	2276711181216599311	0 28 30 46 52 66 70 88 90 108 112 126 132 148 150 178	-704984814190
STPT(10)	2276711350057374017	0 2 60 62 72 74 84 86 144 146	-536144039484
STPT(10)	2276711386618659539	0 2 48 50 90 92 132 134 180 182	-499582753962
STPT(10)	2276711852608502987	0 2 12 14 42 44 72 74 84 86	-33592910514
SPT(16)	2276712278831855899	0 42 84 90 108 114 160 168 184 192 238 244 262 268 310 352	392630442398
SPT(16)	2276712683418573461	0 12 32 42 50 78 122 182 246 306 350 378 386 396 416 428	797217159960
SPT(16)	2276712794325919849	0 4 30 40 160 162 172 184 228 240 250 252 372 382 408 412	908124506348
TPT(14)	2276713127934587129	0 2 12 14 30 32 60 62 132 134 168 170 270 272	1241733173628
STPT(10)	2276713167261054407	0 2 54 56 72 74 90 92 144 146	1281059640906