Prime p₀= 1041433781394022109 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: Theadalus
db: batch=76, k=10, 2 40 2 16 2

SPT(16)	1041432728122342453	0 10 34 66 76 100 144 150 154 160 204 228 238 270 294 304	-1053271679656
STPT(10)	1041432981423111437	0 2 30 32 42 44 54 56 84 86	-799970910672
SPT(16)	1041433226445717557	0 90 102 110 116 126 132 162 284 314 320 330 336 344 356 446	-554948304552
TPT(14)	1041433227777798641	0 2 30 32 36 38 60 62 78 80 126 128 186 188	-553616223468
STPT(10)	1041433436747424731	0 2 6 8 48 50 90 92 96 98	-344646597378
SPT(16)	1041433744144048891	0 6 10 30 88 100 108 130 138 160 168 180 238 258 262 268	-37249973218
STPT(10)	1041434038052826947	0 2 42 44 72 74 102 104 144 146	256658804838
SPT(16)	1041434044089519343	0 16 28 54 106 228 306 310 354 358 436 558 610 636 648 664	262695497234
STPT(10)	1041434202290973287	0 2 30 32 42 44 54 56 84 86	420896951178
SPT(16)	1041434217447031103	0 20 36 78 90 104 108 120 134 146 150 164 176 218 234 254	436053008994
TPT(14)	1041434340839429261	0 2 18 20 90 92 96 98 240 242 270 272 336 338	559445407152