Prime p₀= 2336695226357519309 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: 122
Found by: Orange Kid
db: batch=81, k=10, 2 16 2 40 2

SPT(16)	2336693937622769789	0 12 42 122 128 138 164 168 224 228 254 264 270 350 380 392	-1288734749520
SPT(16)	2336694030838726369	0 72 88 90 108 130 142 174 178 210 222 244 262 264 280 352	-1195518792940
STPT(10)	2336694203784535277	0 2 42 44 72 74 102 104 144 146	-1022572984032
STPT(10)	2336694624333673691	0 2 6 8 48 50 90 92 96 98	-602023845618
STPT(10)	2336694810842606957	0 2 30 32 42 44 54 56 84 86	-415514912352
SPT(16)	2336694976550897309	0 18 20 32 50 68 98 128 144 174 204 222 240 252 254 272	-249806622000
SPT(16)	2336695351442865797	0 24 26 54 60 72 102 140 156 194 224 236 242 270 272 296	125085346488
SPT(16)	2336695630898407409	0 14 80 98 114 140 164 170 198 204 228 254 270 288 354 368	404540888100
STPT(10)	2336696124270482477	0 2 24 26 42 44 60 62 84 86	897912963168
SPT(16)	2336696802130724053	0 18 34 70 96 124 210 256 258 304 390 418 444 480 496 514	1575773204744
TPT(14)	2336697002490107867	0 2 42 44 162 164 192 194 234 236 240 242 252 254	1776132588558