Prime p₀= 1117664359452469649 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: JonS
db: batch=76, k=10, 2 16 2 10 2

STPT(10)	1117663372754768891	0 2 6 8 18 20 30 32 36 38	-986697700758
STPT(10)	1117663500480375857	0 2 84 86 162 164 240 242 324 326	-858972093792
SPT(16)	1117663523694171427	0 46 54 64 106 112 120 166 210 256 264 270 312 322 330 376	-835758298222
TPT(14)	1117664080540022567	0 2 12 14 24 26 30 32 54 56 60 62 114 116	-278912447082
SPT(16)	1117664176457560243	0 4 18 70 78 106 108 154 180 226 228 256 264 316 330 334	-182994909406
TPT(14)	1117664241827877089	0 2 12 14 90 92 150 152 168 170 192 194 210 212	-117624592560
STPT(10)	1117664449052399747	0 2 42 44 72 74 102 104 144 146	89599930098
SPT(16)	1117664487240841997	0 6 30 72 92 114 134 146 150 162 182 204 224 266 290 296	127788372348
TPT(14)	1117664616198555419	0 2 120 122 192 194 198 200 360 362 408 410 528 530	256746085770
SPT(16)	1117664693726234903	0 14 44 86 96 116 144 146 168 170 198 218 228 270 300 314	334273765254
TPT(14)	1117665394418842427	0 2 42 44 90 92 114 116 240 242 264 266 294 296	1034966372778