Prime p₀= 2656164668691782747 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: [SG-FC] hl
db: batch=82, k=10, 2 40 2 28 2

SPT(16)	2656163132245916347	0 36 64 70 90 120 162 186 190 214 256 286 306 312 340 376	-1536445866400
STPT(10)	2656163874882684371	0 2 6 8 18 20 30 32 36 38	-793809098376
STPT(10)	2656163970888568067	0 2 30 32 72 74 114 116 144 146	-697803214680
STPT(10)	2656164090940420601	0 2 30 32 78 80 126 128 156 158	-577751362146
STPT(10)	2656164519286444091	0 2 30 32 78 80 126 128 156 158	-149405338656
SPT(16)	2656164590335609711	0 12 40 106 150 166 180 198 220 238 252 268 312 378 406 418	-78356173036
SPT(16)	2656164766408242553	0 18 36 48 88 90 100 150 154 204 214 216 256 268 286 304	97716459806
STPT(10)	2656164883460496407	0 2 24 26 42 44 60 62 84 86	214768713660
TPT(14)	2656165077410283389	0 2 12 14 18 20 42 44 150 152 198 200 222 224	408718500642
SPT(16)	2656165144635549829	0 22 42 58 60 78 148 162 178 192 262 280 282 298 318 340	475943767082
TPT(14)	2656165151040051059	0 2 78 80 162 164 192 194 288 290 318 320 378 380	482348268312