Prime p₀= 1012102417677697901 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Theadalus
db: batch=76, k=10, 2 34 2 40 2

TPT(14)	1012100888895124109	0 2 102 104 198 200 228 230 312 314 378 380 438 440	-1528782573792
STPT(10)	1012101294465431591	0 2 36 38 78 80 120 122 156 158	-1123212266310
TPT(14)	1012101544745757251	0 2 60 62 78 80 90 92 186 188 198 200 240 242	-872931940650
SPT(16)	1012101573269179597	0 100 112 114 130 144 154 172 234 252 262 276 292 294 306 406	-844408518304
STPT(10)	1012101600712508939	0 2 42 44 90 92 138 140 180 182	-816965188962
SPT(18)	1012102112447278651	0 58 66 78 82 88 142 156 178 240 262 276 330 336 340 352 360 418	-305230419250
STPT(10)	1012102488319700597	0 2 30 32 42 44 54 56 84 86	70642002696
SPT(16)	1012102698399011617	0 52 94 114 144 150 154 180 184 210 214 220 250 270 312 364	280721313716
STPT(10)	1012103360728542749	0 2 42 44 60 62 78 80 120 122	943050844848
TPT(14)	1012103465839471277	0 2 30 32 42 44 54 56 72 74 180 182 312 314	1048161773376
STPT(10)	1012103957591602691	0 2 6 8 48 50 90 92 96 98	1539913904790