Prime p₀= 1078731509445686597 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 16 2 16 2 52 2 (?)
a_n: 0 2 54 56 72 74 90 92 144 146
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: 146
Found by: crashtech
db: batch=76, k=10, 2 52 2 16 2

SPT(16)	1078730079685466251	0 10 16 46 88 96 102 108 130 136 142 150 192 222 228 238	-1429760220346
STPT(10)	1078730234078691239	0 2 12 14 90 92 168 170 180 182	-1275366995358
SPT(16)	1078730958533039041	0 18 40 52 72 88 102 112 168 178 192 208 228 240 262 280	-550912647556
STPT(10)	1078731110163774797	0 2 30 32 72 74 114 116 144 146	-399281911800
STPT(10)	1078731367558484411	0 2 36 38 78 80 120 122 156 158	-141887202186
SPT(16)	1078731398091891043	0 30 54 76 78 90 118 120 154 156 184 196 198 220 244 274	-111353795554
STPT(10)	1078731543755703191	0 2 6 8 48 50 90 92 96 98	34310016594
STPT(10)	1078731657200868479	0 2 48 50 90 92 132 134 180 182	147755181882
STPT(10)	1078731739712086709	0 2 18 20 30 32 42 44 60 62	230266400112
STPT(10)	1078732108570337129	0 2 18 20 30 32 42 44 60 62	599124650532
SPT(16)	1078732538140584211	0 30 36 42 76 96 126 196 252 322 352 372 406 412 418 448	1028694897614