Prime p₀= 1264505956065861137 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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: rlacr
db: batch=77, k=10, 2 28 2 40 2

STPT(10)	1264505108412295151	0 2 78 80 108 110 138 140 216 218	-847653565986
SPT(16)	1264505594225605247	0 26 74 96 132 200 236 266 270 300 336 404 440 462 510 536	-361840255890
SPT(16)	1264505713968732883	0 36 40 46 60 70 114 124 186 196 240 250 264 270 274 310	-242097128254
STPT(10)	1264505769676579889	0 2 18 20 30 32 42 44 60 62	-186389281248
SPT(16)	1264505809707623009	0 48 62 72 74 108 140 158 174 192 224 258 260 270 284 332	-146358238128
STPT(10)	1264505861813691659	0 2 42 44 120 122 198 200 240 242	-94252169478
SPT(16)	1264506549126988259	0 2 30 42 60 72 74 102 110 138 140 152 170 182 210 212	593061127122
STPT(10)	1264506748483525541	0 2 36 38 78 80 120 122 156 158	792417664404
STPT(10)	1264506772246971959	0 2 30 32 210 212 390 392 420 422	816181110822
STPT(10)	1264506776533530779	0 2 18 20 30 32 42 44 60 62	820467669642
STPT(10)	1264507410682763447	0 2 30 32 72 74 114 116 144 146	1454616902310