Prime p₀= 2562767698574618177 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: JayPi
db: batch=82, k=10, 2 22 2 16 2

TPT(14)	2562766463484833129	0 2 12 14 60 62 102 104 108 110 168 170 240 242	-1235089785048
SPT(16)	2562766479144576853	0 18 36 58 114 124 136 154 180 198 210 220 276 298 316 334	-1219430041324
STPT(10)	2562766822029901307	0 2 60 62 72 74 84 86 144 146	-876544716870
STPT(10)	2562767146880827487	0 2 42 44 72 74 102 104 144 146	-551693790690
SPT(16)	2562767515732041809	0 2 8 42 78 158 164 224 228 288 294 374 410 444 450 452	-182842576368
SPT(16)	2562767648478193799	0 14 18 32 42 68 84 104 108 128 144 170 180 194 198 212	-50096424378
STPT(12)	2562767766416256521	0 2 36 38 48 50 78 80 90 92 126 128	67841638344
SPT(16)	2562768086025789067	0 12 40 52 60 82 90 96 130 136 144 166 174 186 214 226	387451170890
STPT(10)	2562768192571361387	0 2 30 32 42 44 54 56 84 86	493996743210
SPT(16)	2562768572083064923	0 100 114 144 156 160 174 190 210 226 240 244 256 286 300 400	873508446746
STPT(10)	2562769031781011507	0 2 24 26 42 44 60 62 84 86	1333206393330