Prime p₀= 787038916384760087 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: arkiss
db: batch=73, k=10, 2 40 2 28 2

SPT(16)	787038537590420779	0 52 54 60 82 108 138 144 178 184 214 240 262 268 270 322	-378794339308
SPT(16)	787038573072097571	0 12 18 38 78 102 108 128 150 170 176 200 240 260 266 278	-343312662516
SPT(16)	787038685474099567	0 22 40 84 120 124 166 192 304 330 372 376 412 456 474 496	-230910660520
SPT(16)	787038743998438661	0 8 38 66 80 120 122 132 176 186 188 228 242 270 300 308	-172386321426
SPT(16)	787038840401307229	0 28 30 58 64 112 120 142 150 172 180 228 234 262 264 292	-75983452858
SPT(16)	787038862077253889	0 38 48 68 80 104 108 140 192 224 228 252 264 284 294 332	-54307506198
SPT(20)	787039122436425193	0 40 46 54 60 84 100 126 130 154 186 210 214 240 256 280 286 294 300 340	206051665106
SPT(16)	787039246499795741	0 6 60 62 90 102 116 126 152 162 176 188 216 218 272 278	330115035654
STPT(10)	787039259293020047	0 2 30 32 42 44 54 56 84 86	342908259960
STPT(10)	787039364619580739	0 2 42 44 60 62 78 80 120 122	448234820652
STPT(10)	787039429577474387	0 2 12 14 42 44 72 74 84 86	513192714300